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Simplifying 8(z + 3) = 7 + 9z Reorder the terms: 8(3 + z) = 7 + 9z (3 * 8 + z * 8) = 7 + 9z (24 + 8z) = 7 + 9z Solving 24 + 8z = 7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 24 + 8z + -9z = 7 + 9z + -9z Combine like terms: 8z + -9z = -1z 24 + -1z = 7 + 9z + -9z Combine like terms: 9z + -9z = 0 24 + -1z = 7 + 0 24 + -1z = 7 Add '-24' to each side of the equation. 24 + -24 + -1z = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -1z = 7 + -24 -1z = 7 + -24 Combine like terms: 7 + -24 = -17 -1z = -17 Divide each side by '-1'. z = 17 Simplifying z = 17
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