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Simplifying -9(z + 17) = -13 + -14 + 9z Reorder the terms: -9(17 + z) = -13 + -14 + 9z (17 * -9 + z * -9) = -13 + -14 + 9z (-153 + -9z) = -13 + -14 + 9z Combine like terms: -13 + -14 = -27 -153 + -9z = -27 + 9z Solving -153 + -9z = -27 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -153 + -9z + -9z = -27 + 9z + -9z Combine like terms: -9z + -9z = -18z -153 + -18z = -27 + 9z + -9z Combine like terms: 9z + -9z = 0 -153 + -18z = -27 + 0 -153 + -18z = -27 Add '153' to each side of the equation. -153 + 153 + -18z = -27 + 153 Combine like terms: -153 + 153 = 0 0 + -18z = -27 + 153 -18z = -27 + 153 Combine like terms: -27 + 153 = 126 -18z = 126 Divide each side by '-18'. z = -7 Simplifying z = -7
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