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Simplifying -2.5(2z + 5) = 5z + 2.5 Reorder the terms: -2.5(5 + 2z) = 5z + 2.5 (5 * -2.5 + 2z * -2.5) = 5z + 2.5 (-12.5 + -5z) = 5z + 2.5 Reorder the terms: -12.5 + -5z = 2.5 + 5z Solving -12.5 + -5z = 2.5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -12.5 + -5z + -5z = 2.5 + 5z + -5z Combine like terms: -5z + -5z = -10z -12.5 + -10z = 2.5 + 5z + -5z Combine like terms: 5z + -5z = 0 -12.5 + -10z = 2.5 + 0 -12.5 + -10z = 2.5 Add '12.5' to each side of the equation. -12.5 + 12.5 + -10z = 2.5 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + -10z = 2.5 + 12.5 -10z = 2.5 + 12.5 Combine like terms: 2.5 + 12.5 = 15 -10z = 15 Divide each side by '-10'. z = -1.5 Simplifying z = -1.5
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