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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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