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Simplifying 15 = -1(12 + -1z) 15 = (12 * -1 + -1z * -1) 15 = (-12 + 1z) Solving 15 = -12 + 1z 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. 15 + -1z = -12 + 1z + -1z Combine like terms: 1z + -1z = 0 15 + -1z = -12 + 0 15 + -1z = -12 Add '-15' to each side of the equation. 15 + -15 + -1z = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = -12 + -15 -1z = -12 + -15 Combine like terms: -12 + -15 = -27 -1z = -27 Divide each side by '-1'. z = 27 Simplifying z = 27
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