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Simplifying 3(z + -5) = 8z Reorder the terms: 3(-5 + z) = 8z (-5 * 3 + z * 3) = 8z (-15 + 3z) = 8z Solving -15 + 3z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -15 + 3z + -8z = 8z + -8z Combine like terms: 3z + -8z = -5z -15 + -5z = 8z + -8z Combine like terms: 8z + -8z = 0 -15 + -5z = 0 Add '15' to each side of the equation. -15 + 15 + -5z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5z = 0 + 15 -5z = 0 + 15 Combine like terms: 0 + 15 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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