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Simplifying 5(z + -6) = 8z Reorder the terms: 5(-6 + z) = 8z (-6 * 5 + z * 5) = 8z (-30 + 5z) = 8z Solving -30 + 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. -30 + 5z + -8z = 8z + -8z Combine like terms: 5z + -8z = -3z -30 + -3z = 8z + -8z Combine like terms: 8z + -8z = 0 -30 + -3z = 0 Add '30' to each side of the equation. -30 + 30 + -3z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -3z = 0 + 30 -3z = 0 + 30 Combine like terms: 0 + 30 = 30 -3z = 30 Divide each side by '-3'. z = -10 Simplifying z = -10
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