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Simplifying 15 + 7z = 8(z + -2) Reorder the terms: 15 + 7z = 8(-2 + z) 15 + 7z = (-2 * 8 + z * 8) 15 + 7z = (-16 + 8z) Solving 15 + 7z = -16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 15 + 7z + -8z = -16 + 8z + -8z Combine like terms: 7z + -8z = -1z 15 + -1z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 15 + -1z = -16 + 0 15 + -1z = -16 Add '-15' to each side of the equation. 15 + -15 + -1z = -16 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = -16 + -15 -1z = -16 + -15 Combine like terms: -16 + -15 = -31 -1z = -31 Divide each side by '-1'. z = 31 Simplifying z = 31
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