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Simplifying 3(z + 8) = -5(z + -5) Reorder the terms: 3(8 + z) = -5(z + -5) (8 * 3 + z * 3) = -5(z + -5) (24 + 3z) = -5(z + -5) Reorder the terms: 24 + 3z = -5(-5 + z) 24 + 3z = (-5 * -5 + z * -5) 24 + 3z = (25 + -5z) Solving 24 + 3z = 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. 24 + 3z + 5z = 25 + -5z + 5z Combine like terms: 3z + 5z = 8z 24 + 8z = 25 + -5z + 5z Combine like terms: -5z + 5z = 0 24 + 8z = 25 + 0 24 + 8z = 25 Add '-24' to each side of the equation. 24 + -24 + 8z = 25 + -24 Combine like terms: 24 + -24 = 0 0 + 8z = 25 + -24 8z = 25 + -24 Combine like terms: 25 + -24 = 1 8z = 1 Divide each side by '8'. z = 0.125 Simplifying z = 0.125
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