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Simplifying 5(z + -3) = 8z Reorder the terms: 5(-3 + z) = 8z (-3 * 5 + z * 5) = 8z (-15 + 5z) = 8z Solving -15 + 5z = 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 + 5z + -8z = 8z + -8z Combine like terms: 5z + -8z = -3z -15 + -3z = 8z + -8z Combine like terms: 8z + -8z = 0 -15 + -3z = 0 Add '15' to each side of the equation. -15 + 15 + -3z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3z = 0 + 15 -3z = 0 + 15 Combine like terms: 0 + 15 = 15 -3z = 15 Divide each side by '-3'. z = -5 Simplifying z = -5
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