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Simplifying 5(2 + -3z) = -4(4z + 9) (2 * 5 + -3z * 5) = -4(4z + 9) (10 + -15z) = -4(4z + 9) Reorder the terms: 10 + -15z = -4(9 + 4z) 10 + -15z = (9 * -4 + 4z * -4) 10 + -15z = (-36 + -16z) Solving 10 + -15z = -36 + -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 + -15z + 16z = -36 + -16z + 16z Combine like terms: -15z + 16z = 1z 10 + 1z = -36 + -16z + 16z Combine like terms: -16z + 16z = 0 10 + 1z = -36 + 0 10 + 1z = -36 Add '-10' to each side of the equation. 10 + -10 + 1z = -36 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = -36 + -10 1z = -36 + -10 Combine like terms: -36 + -10 = -46 1z = -46 Divide each side by '1'. z = -46 Simplifying z = -46
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