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Simplifying 9z + 4 = 6(3z + 4) + 7 Reorder the terms: 4 + 9z = 6(3z + 4) + 7 Reorder the terms: 4 + 9z = 6(4 + 3z) + 7 4 + 9z = (4 * 6 + 3z * 6) + 7 4 + 9z = (24 + 18z) + 7 Reorder the terms: 4 + 9z = 24 + 7 + 18z Combine like terms: 24 + 7 = 31 4 + 9z = 31 + 18z Solving 4 + 9z = 31 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 4 + 9z + -18z = 31 + 18z + -18z Combine like terms: 9z + -18z = -9z 4 + -9z = 31 + 18z + -18z Combine like terms: 18z + -18z = 0 4 + -9z = 31 + 0 4 + -9z = 31 Add '-4' to each side of the equation. 4 + -4 + -9z = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -9z = 31 + -4 -9z = 31 + -4 Combine like terms: 31 + -4 = 27 -9z = 27 Divide each side by '-9'. z = -3 Simplifying z = -3
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