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