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Simplifying -7 + -5(4z + -6) = -8(-1z + -6) + 8 Reorder the terms: -7 + -5(-6 + 4z) = -8(-1z + -6) + 8 -7 + (-6 * -5 + 4z * -5) = -8(-1z + -6) + 8 -7 + (30 + -20z) = -8(-1z + -6) + 8 Combine like terms: -7 + 30 = 23 23 + -20z = -8(-1z + -6) + 8 Reorder the terms: 23 + -20z = -8(-6 + -1z) + 8 23 + -20z = (-6 * -8 + -1z * -8) + 8 23 + -20z = (48 + 8z) + 8 Reorder the terms: 23 + -20z = 48 + 8 + 8z Combine like terms: 48 + 8 = 56 23 + -20z = 56 + 8z Solving 23 + -20z = 56 + 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. 23 + -20z + -8z = 56 + 8z + -8z Combine like terms: -20z + -8z = -28z 23 + -28z = 56 + 8z + -8z Combine like terms: 8z + -8z = 0 23 + -28z = 56 + 0 23 + -28z = 56 Add '-23' to each side of the equation. 23 + -23 + -28z = 56 + -23 Combine like terms: 23 + -23 = 0 0 + -28z = 56 + -23 -28z = 56 + -23 Combine like terms: 56 + -23 = 33 -28z = 33 Divide each side by '-28'. z = -1.178571429 Simplifying z = -1.178571429
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