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Simplifying -2(15z + -5) = 4(4z + 1) Reorder the terms: -2(-5 + 15z) = 4(4z + 1) (-5 * -2 + 15z * -2) = 4(4z + 1) (10 + -30z) = 4(4z + 1) Reorder the terms: 10 + -30z = 4(1 + 4z) 10 + -30z = (1 * 4 + 4z * 4) 10 + -30z = (4 + 16z) Solving 10 + -30z = 4 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 10 + -30z + -16z = 4 + 16z + -16z Combine like terms: -30z + -16z = -46z 10 + -46z = 4 + 16z + -16z Combine like terms: 16z + -16z = 0 10 + -46z = 4 + 0 10 + -46z = 4 Add '-10' to each side of the equation. 10 + -10 + -46z = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -46z = 4 + -10 -46z = 4 + -10 Combine like terms: 4 + -10 = -6 -46z = -6 Divide each side by '-46'. z = 0.1304347826 Simplifying z = 0.1304347826
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