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Simplifying -6z + 3 = -9 + -9(z + -12) Reorder the terms: 3 + -6z = -9 + -9(z + -12) Reorder the terms: 3 + -6z = -9 + -9(-12 + z) 3 + -6z = -9 + (-12 * -9 + z * -9) 3 + -6z = -9 + (108 + -9z) Combine like terms: -9 + 108 = 99 3 + -6z = 99 + -9z Solving 3 + -6z = 99 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 3 + -6z + 9z = 99 + -9z + 9z Combine like terms: -6z + 9z = 3z 3 + 3z = 99 + -9z + 9z Combine like terms: -9z + 9z = 0 3 + 3z = 99 + 0 3 + 3z = 99 Add '-3' to each side of the equation. 3 + -3 + 3z = 99 + -3 Combine like terms: 3 + -3 = 0 0 + 3z = 99 + -3 3z = 99 + -3 Combine like terms: 99 + -3 = 96 3z = 96 Divide each side by '3'. z = 32 Simplifying z = 32
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