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Simplifying 5(1 + -2z) = -3(3z + -4) (1 * 5 + -2z * 5) = -3(3z + -4) (5 + -10z) = -3(3z + -4) Reorder the terms: 5 + -10z = -3(-4 + 3z) 5 + -10z = (-4 * -3 + 3z * -3) 5 + -10z = (12 + -9z) Solving 5 + -10z = 12 + -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. 5 + -10z + 9z = 12 + -9z + 9z Combine like terms: -10z + 9z = -1z 5 + -1z = 12 + -9z + 9z Combine like terms: -9z + 9z = 0 5 + -1z = 12 + 0 5 + -1z = 12 Add '-5' to each side of the equation. 5 + -5 + -1z = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 12 + -5 -1z = 12 + -5 Combine like terms: 12 + -5 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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