Solve the equation. Check your solution. 19=2-(z+5) The solution set is _____ (Type an integer or a simplified fraction).

Isolate variable z: First, we need to isolate the variable z on one side of the equation. We start by adding (z + 5) to both sides of the equation to move the term involving z to the left side. Calculation: 19 = 2 - (z + 5) becomes 19 + (z + 5) = 2Combine like terms: Next, we simplify the left side of the equation by combining like terms. Calculation: 19 + z + 5 = 2 becomes z + 24 = 2Subtract 24: Now, we subtract 24 from both sides of the equation to solve for z. Calculation: z + 24 - 24 = 2 - 24 becomes z = -22Check solution: Finally, we check our solution by substituting z = -22 back into the original equation to see if both sides are equal. Calculation: 19 = 2 - ((-22) + 5) becomes 19 = 2 - (-17) which simplifies to 19 = 19

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Algebra 2

Conjugate root theorems

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Q. Solve the equation. Check your solution.

\newline

19=2-(z+5)

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The solution set is

\_\_\_\_\_

(Type an integer or a simplified fraction).

Isolate variable $z$ : First, we need to isolate the variable $z$ on one side of the equation. We start by adding $(z + 5)$ to both sides of the equation to move the term involving $z$ to the left side. $\newline$ Calculation: $19 = 2 - (z + 5)$ becomes $19 + (z + 5) = 2$
Combine like terms: Next, we simplify the left side of the equation by combining like terms. $\newline$ Calculation: $19 + z + 5 = 2$ becomes $z + 24 = 2$
Subtract $24$ : Now, we subtract $24$ from both sides of the equation to solve for $z$ . $\newline$ Calculation: $z + 24 - 24 = 2 - 24$ becomes $z = -22$
Check solution: Finally, we check our solution by substituting $z = -22$ back into the original equation to see if both sides are equal. $\newline$ Calculation: $19 = 2 - ((-22) + 5)$ becomes $19 = 2 - (-17)$ which simplifies to $19 = 19$