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Simplifying 9 + -1(2z + -6) = 7 + -3z Reorder the terms: 9 + -1(-6 + 2z) = 7 + -3z 9 + (-6 * -1 + 2z * -1) = 7 + -3z 9 + (6 + -2z) = 7 + -3z Combine like terms: 9 + 6 = 15 15 + -2z = 7 + -3z Solving 15 + -2z = 7 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 15 + -2z + 3z = 7 + -3z + 3z Combine like terms: -2z + 3z = 1z 15 + 1z = 7 + -3z + 3z Combine like terms: -3z + 3z = 0 15 + 1z = 7 + 0 15 + 1z = 7 Add '-15' to each side of the equation. 15 + -15 + 1z = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 7 + -15 1z = 7 + -15 Combine like terms: 7 + -15 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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