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Simplifying 8 + -1(4z + -7) = 6 + -5z Reorder the terms: 8 + -1(-7 + 4z) = 6 + -5z 8 + (-7 * -1 + 4z * -1) = 6 + -5z 8 + (7 + -4z) = 6 + -5z Combine like terms: 8 + 7 = 15 15 + -4z = 6 + -5z Solving 15 + -4z = 6 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 15 + -4z + 5z = 6 + -5z + 5z Combine like terms: -4z + 5z = 1z 15 + 1z = 6 + -5z + 5z Combine like terms: -5z + 5z = 0 15 + 1z = 6 + 0 15 + 1z = 6 Add '-15' to each side of the equation. 15 + -15 + 1z = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 6 + -15 1z = 6 + -15 Combine like terms: 6 + -15 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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