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Simplifying (9z + -12) + -1(-3z) = 0 Reorder the terms: (-12 + 9z) + -1(-3z) = 0 Remove parenthesis around (-12 + 9z) -12 + 9z + -1(-3z) = 0 Remove parenthesis around (-3z) -12 + 9z + -1 * -3z = 0 Multiply -1 * -3 -12 + 9z + 3z = 0 Combine like terms: 9z + 3z = 12z -12 + 12z = 0 Solving -12 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. 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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