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Simplifying -17(z + -12) = z + 74 Reorder the terms: -17(-12 + z) = z + 74 (-12 * -17 + z * -17) = z + 74 (204 + -17z) = z + 74 Reorder the terms: 204 + -17z = 74 + z Solving 204 + -17z = 74 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 204 + -17z + -1z = 74 + z + -1z Combine like terms: -17z + -1z = -18z 204 + -18z = 74 + z + -1z Combine like terms: z + -1z = 0 204 + -18z = 74 + 0 204 + -18z = 74 Add '-204' to each side of the equation. 204 + -204 + -18z = 74 + -204 Combine like terms: 204 + -204 = 0 0 + -18z = 74 + -204 -18z = 74 + -204 Combine like terms: 74 + -204 = -130 -18z = -130 Divide each side by '-18'. z = 7.222222222 Simplifying z = 7.222222222
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