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Simplifying 8 + -1(7z + 5) = 15 + -6z Reorder the terms: 8 + -1(5 + 7z) = 15 + -6z 8 + (5 * -1 + 7z * -1) = 15 + -6z 8 + (-5 + -7z) = 15 + -6z Combine like terms: 8 + -5 = 3 3 + -7z = 15 + -6z Solving 3 + -7z = 15 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 3 + -7z + 6z = 15 + -6z + 6z Combine like terms: -7z + 6z = -1z 3 + -1z = 15 + -6z + 6z Combine like terms: -6z + 6z = 0 3 + -1z = 15 + 0 3 + -1z = 15 Add '-3' to each side of the equation. 3 + -3 + -1z = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 15 + -3 -1z = 15 + -3 Combine like terms: 15 + -3 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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