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Simplifying -4(2.5z + 3) = 8.5z + -15 + -1.5z Reorder the terms: -4(3 + 2.5z) = 8.5z + -15 + -1.5z (3 * -4 + 2.5z * -4) = 8.5z + -15 + -1.5z (-12 + -10z) = 8.5z + -15 + -1.5z Reorder the terms: -12 + -10z = -15 + 8.5z + -1.5z Combine like terms: 8.5z + -1.5z = 7z -12 + -10z = -15 + 7z Solving -12 + -10z = -15 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -12 + -10z + -7z = -15 + 7z + -7z Combine like terms: -10z + -7z = -17z -12 + -17z = -15 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + -17z = -15 + 0 -12 + -17z = -15 Add '12' to each side of the equation. -12 + 12 + -17z = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -17z = -15 + 12 -17z = -15 + 12 Combine like terms: -15 + 12 = -3 -17z = -3 Divide each side by '-17'. z = 0.1764705882 Simplifying z = 0.1764705882
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