Solve for z. 12=15(z-(1)/(5))

Distribute 15 to terms: First, we need to isolate the term containing z on one side of the equation. We can start by distributing the 15 to both terms inside the parentheses. Calculation: 12 = 15(z) - 15(1/5) Math error check: Simplify right side: Now, simplify the right side of the equation by multiplying 15 with 1/5. Calculation: 12 = 15z - 3 Math error check: Add 3 to both sides: Next, we want to get all the terms with z on one side and the constants on the other side. We can do this by adding 3 to both sides of the equation. Calculation: 12 + 3 = 15z - 3 + 3 Math error check: Combine like terms: Simplify the equation by combining like terms. Calculation: 15 = 15z Math error check: Divide by 15: Finally, we will divide both sides of the equation by 15 to solve for z. Calculation: 15/15 = 15z/15 Math error check: Find value of z: Simplify the equation to find the value of z. Calculation: 1 = z Math error check:

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Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

Q. Solve for

z

\newline

12=15\left(z-\frac{1}{5}\right)

Distribute $15$ to terms: First, we need to isolate the term containing $z$ on one side of the equation. We can start by distributing the $15$ to both terms inside the parentheses. $\newline$ Calculation: $12 = 15(z) - 15(\frac{1}{5})$ $\newline$ Math error check:
Simplify right side: Now, simplify the right side of the equation by multiplying $15$ with $\frac{1}{5}$ . $\newline$ Calculation: $12 = 15z - 3$ $\newline$ Math error check:
Add $3$ to both sides: Next, we want to get all the terms with $z$ on one side and the constants on the other side. We can do this by adding $3$ to both sides of the equation. $\newline$ Calculation: $12 + 3 = 15z - 3 + 3$ $\newline$ Math error check:
Combine like terms: Simplify the equation by combining like terms. $\newline$ Calculation: $15 = 15z$ $\newline$ Math error check:
Divide by $15$ : Finally, we will divide both sides of the equation by $15$ to solve for $z$ . $\newline$ Calculation: $\frac{15}{15} = \frac{15z}{15}$ $\newline$ Math error check:
Find value of z: Simplify the equation to find the value of $z$ . $\newline$ Calculation: $1 = z$ $\newline$ Math error check: