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Simplifying 4(3z + 2) = 9z + -7 Reorder the terms: 4(2 + 3z) = 9z + -7 (2 * 4 + 3z * 4) = 9z + -7 (8 + 12z) = 9z + -7 Reorder the terms: 8 + 12z = -7 + 9z Solving 8 + 12z = -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. 8 + 12z + -9z = -7 + 9z + -9z Combine like terms: 12z + -9z = 3z 8 + 3z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + 3z = -7 + 0 8 + 3z = -7 Add '-8' to each side of the equation. 8 + -8 + 3z = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3z = -7 + -8 3z = -7 + -8 Combine like terms: -7 + -8 = -15 3z = -15 Divide each side by '3'. z = -5 Simplifying z = -5
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