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Simplifying -3(4.5z + -4) = 17.5 + 2.5z Reorder the terms: -3(-4 + 4.5z) = 17.5 + 2.5z (-4 * -3 + 4.5z * -3) = 17.5 + 2.5z (12 + -13.5z) = 17.5 + 2.5z Solving 12 + -13.5z = 17.5 + 2.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.5z' to each side of the equation. 12 + -13.5z + -2.5z = 17.5 + 2.5z + -2.5z Combine like terms: -13.5z + -2.5z = -16z 12 + -16z = 17.5 + 2.5z + -2.5z Combine like terms: 2.5z + -2.5z = 0.0 12 + -16z = 17.5 + 0.0 12 + -16z = 17.5 Add '-12' to each side of the equation. 12 + -12 + -16z = 17.5 + -12 Combine like terms: 12 + -12 = 0 0 + -16z = 17.5 + -12 -16z = 17.5 + -12 Combine like terms: 17.5 + -12 = 5.5 -16z = 5.5 Divide each side by '-16'. z = -0.34375 Simplifying z = -0.34375
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