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Simplifying (9z + -12) = -1(3z) Reorder the terms: (-12 + 9z) = -1(3z) Remove parenthesis around (-12 + 9z) -12 + 9z = -1(3z) Remove parenthesis around (3z) -12 + 9z = -1 * 3z Multiply -1 * 3 -12 + 9z = -3z Solving -12 + 9z = -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. -12 + 9z + 3z = -3z + 3z Combine like terms: 9z + 3z = 12z -12 + 12z = -3z + 3z Combine like terms: -3z + 3z = 0 -12 + 12z = 0 Add '12' to each side of the equation. -12 + 12 + 12z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12z = 0 + 12 12z = 0 + 12 Combine like terms: 0 + 12 = 12 12z = 12 Divide each side by '12'. z = 1 Simplifying z = 1
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