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Simplifying -8(-3z + -7) = 20z + -12 Reorder the terms: -8(-7 + -3z) = 20z + -12 (-7 * -8 + -3z * -8) = 20z + -12 (56 + 24z) = 20z + -12 Reorder the terms: 56 + 24z = -12 + 20z Solving 56 + 24z = -12 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 56 + 24z + -20z = -12 + 20z + -20z Combine like terms: 24z + -20z = 4z 56 + 4z = -12 + 20z + -20z Combine like terms: 20z + -20z = 0 56 + 4z = -12 + 0 56 + 4z = -12 Add '-56' to each side of the equation. 56 + -56 + 4z = -12 + -56 Combine like terms: 56 + -56 = 0 0 + 4z = -12 + -56 4z = -12 + -56 Combine like terms: -12 + -56 = -68 4z = -68 Divide each side by '4'. z = -17 Simplifying z = -17
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