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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 = -19z 5 + -19z = -12 + 9z + -9z Combine like terms: 9z + -9z = 0 5 + -19z = -12 + 0 5 + -19z = -12 Add '-5' to each side of the equation. 5 + -5 + -19z = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -19z = -12 + -5 -19z = -12 + -5 Combine like terms: -12 + -5 = -17 -19z = -17 Divide each side by '-19'. z = 0.8947368421 Simplifying z = 0.8947368421
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