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Simplifying 1.5(4z + 8) + -16 = -2.3(9z + -12) Reorder the terms: 1.5(8 + 4z) + -16 = -2.3(9z + -12) (8 * 1.5 + 4z * 1.5) + -16 = -2.3(9z + -12) (12 + 6z) + -16 = -2.3(9z + -12) Reorder the terms: 12 + -16 + 6z = -2.3(9z + -12) Combine like terms: 12 + -16 = -4 -4 + 6z = -2.3(9z + -12) Reorder the terms: -4 + 6z = -2.3(-12 + 9z) -4 + 6z = (-12 * -2.3 + 9z * -2.3) -4 + 6z = (27.6 + -20.7z) Solving -4 + 6z = 27.6 + -20.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20.7z' to each side of the equation. -4 + 6z + 20.7z = 27.6 + -20.7z + 20.7z Combine like terms: 6z + 20.7z = 26.7z -4 + 26.7z = 27.6 + -20.7z + 20.7z Combine like terms: -20.7z + 20.7z = 0.0 -4 + 26.7z = 27.6 + 0.0 -4 + 26.7z = 27.6 Add '4' to each side of the equation. -4 + 4 + 26.7z = 27.6 + 4 Combine like terms: -4 + 4 = 0 0 + 26.7z = 27.6 + 4 26.7z = 27.6 + 4 Combine like terms: 27.6 + 4 = 31.6 26.7z = 31.6 Divide each side by '26.7'. z = 1.183520599 Simplifying z = 1.183520599
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