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Simplifying -3(3z + -4) = 5(1 + -2z) Reorder the terms: -3(-4 + 3z) = 5(1 + -2z) (-4 * -3 + 3z * -3) = 5(1 + -2z) (12 + -9z) = 5(1 + -2z) 12 + -9z = (1 * 5 + -2z * 5) 12 + -9z = (5 + -10z) Solving 12 + -9z = 5 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 12 + -9z + 10z = 5 + -10z + 10z Combine like terms: -9z + 10z = 1z 12 + 1z = 5 + -10z + 10z Combine like terms: -10z + 10z = 0 12 + 1z = 5 + 0 12 + 1z = 5 Add '-12' to each side of the equation. 12 + -12 + 1z = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 5 + -12 1z = 5 + -12 Combine like terms: 5 + -12 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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