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Simplifying 8(2z + -2) = 5(z + 5) Reorder the terms: 8(-2 + 2z) = 5(z + 5) (-2 * 8 + 2z * 8) = 5(z + 5) (-16 + 16z) = 5(z + 5) Reorder the terms: -16 + 16z = 5(5 + z) -16 + 16z = (5 * 5 + z * 5) -16 + 16z = (25 + 5z) Solving -16 + 16z = 25 + 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. -16 + 16z + -5z = 25 + 5z + -5z Combine like terms: 16z + -5z = 11z -16 + 11z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 -16 + 11z = 25 + 0 -16 + 11z = 25 Add '16' to each side of the equation. -16 + 16 + 11z = 25 + 16 Combine like terms: -16 + 16 = 0 0 + 11z = 25 + 16 11z = 25 + 16 Combine like terms: 25 + 16 = 41 11z = 41 Divide each side by '11'. z = 3.727272727 Simplifying z = 3.727272727
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