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Simplifying 8 + -1(3z + -7) = 9 + -4z Reorder the terms: 8 + -1(-7 + 3z) = 9 + -4z 8 + (-7 * -1 + 3z * -1) = 9 + -4z 8 + (7 + -3z) = 9 + -4z Combine like terms: 8 + 7 = 15 15 + -3z = 9 + -4z Solving 15 + -3z = 9 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 15 + -3z + 4z = 9 + -4z + 4z Combine like terms: -3z + 4z = 1z 15 + 1z = 9 + -4z + 4z Combine like terms: -4z + 4z = 0 15 + 1z = 9 + 0 15 + 1z = 9 Add '-15' to each side of the equation. 15 + -15 + 1z = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 9 + -15 1z = 9 + -15 Combine like terms: 9 + -15 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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