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Simplifying -4(2.5z + 3) = -8.5z Reorder the terms: -4(3 + 2.5z) = -8.5z (3 * -4 + 2.5z * -4) = -8.5z (-12 + -10z) = -8.5z Solving -12 + -10z = -8.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8.5z' to each side of the equation. -12 + -10z + 8.5z = -8.5z + 8.5z Combine like terms: -10z + 8.5z = -1.5z -12 + -1.5z = -8.5z + 8.5z Combine like terms: -8.5z + 8.5z = 0.0 -12 + -1.5z = 0.0 Add '12' to each side of the equation. -12 + 12 + -1.5z = 0.0 + 12 Combine like terms: -12 + 12 = 0 0 + -1.5z = 0.0 + 12 -1.5z = 0.0 + 12 Combine like terms: 0.0 + 12 = 12 -1.5z = 12 Divide each side by '-1.5'. z = -8 Simplifying z = -8
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