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Simplifying 2(4z + 8) + -16 = -1.5(9z + -12) Reorder the terms: 2(8 + 4z) + -16 = -1.5(9z + -12) (8 * 2 + 4z * 2) + -16 = -1.5(9z + -12) (16 + 8z) + -16 = -1.5(9z + -12) Reorder the terms: 16 + -16 + 8z = -1.5(9z + -12) Combine like terms: 16 + -16 = 0 0 + 8z = -1.5(9z + -12) 8z = -1.5(9z + -12) Reorder the terms: 8z = -1.5(-12 + 9z) 8z = (-12 * -1.5 + 9z * -1.5) 8z = (18 + -13.5z) Solving 8z = 18 + -13.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13.5z' to each side of the equation. 8z + 13.5z = 18 + -13.5z + 13.5z Combine like terms: 8z + 13.5z = 21.5z 21.5z = 18 + -13.5z + 13.5z Combine like terms: -13.5z + 13.5z = 0.0 21.5z = 18 + 0.0 21.5z = 18 Divide each side by '21.5'. z = 0.8372093023 Simplifying z = 0.8372093023
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