Solve for t. 4(t + 2) = 20 t = _____

Distribute Terms: Distribute the 4 across the terms inside the parentheses. We need to apply the distributive property, which states that a(b + c) = ab + ac. In this case, we have 4(t + 2), which becomes 4t + 4*2. Calculation: 4t + 8Set Up Equation: Set up the equation with the distributed terms. The equation now looks like this: 4t + 8 = 20.Subtract 8: Subtract 8 from both sides of the equation to isolate the term with the variable t. We want to get t by itself on one side of the equation, so we need to remove the 8 from the left side. To do this, we subtract 8 from both sides. Calculation: 4t + 8 - 8 = 20 - 8, which simplifies to 4t = 12.Divide by 4: Divide both sides of the equation by 4 to solve for t. Now that we have 4t = 12, we divide both sides by 4 to find the value of t. Calculation: 4t / 4 = 12 / 4, which simplifies to t = 3.

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Solve for $t$ . $\newline$ $4(t + 2) = 20$ $\newline$ $t =$ _____

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Math Problems

Grade 7

Solve two-step equations with parentheses

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Q. Solve for

t

\newline

4(t + 2) = 20

\newline

t =

_____

Distribute Terms: Distribute the $4$ across the terms inside the parentheses. $\newline$ We need to apply the distributive property, which states that $a(b + c) = ab + ac$ . In this case, we have $4(t + 2)$ , which becomes $4t + 4\times2$ . $\newline$ Calculation: $4t + 8$
Set Up Equation: Set up the equation with the distributed terms. $\newline$ The equation now looks like this: $4t + 8 = 20$ .
Subtract $8$ : Subtract $8$ from both sides of the equation to isolate the term with the variable $t$ . We want to get $t$ by itself on one side of the equation, so we need to remove the $8$ from the left side. To do this, we subtract $8$ from both sides. Calculation: $4t + 8 - 8 = 20 - 8$ , which simplifies to $4t = 12$ .
Divide by $4$ : Divide both sides of the equation by $4$ to solve for $t$ . Now that we have $4t = 12$ , we divide both sides by $4$ to find the value of $t$ . Calculation: $\frac{4t}{4} = \frac{12}{4}$ , which simplifies to $t = 3$ .