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Simplifying 3(2z + 4) = 5(z + -6) + 9z + 5 Reorder the terms: 3(4 + 2z) = 5(z + -6) + 9z + 5 (4 * 3 + 2z * 3) = 5(z + -6) + 9z + 5 (12 + 6z) = 5(z + -6) + 9z + 5 Reorder the terms: 12 + 6z = 5(-6 + z) + 9z + 5 12 + 6z = (-6 * 5 + z * 5) + 9z + 5 12 + 6z = (-30 + 5z) + 9z + 5 Reorder the terms: 12 + 6z = -30 + 5 + 5z + 9z Combine like terms: -30 + 5 = -25 12 + 6z = -25 + 5z + 9z Combine like terms: 5z + 9z = 14z 12 + 6z = -25 + 14z Solving 12 + 6z = -25 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 12 + 6z + -14z = -25 + 14z + -14z Combine like terms: 6z + -14z = -8z 12 + -8z = -25 + 14z + -14z Combine like terms: 14z + -14z = 0 12 + -8z = -25 + 0 12 + -8z = -25 Add '-12' to each side of the equation. 12 + -12 + -8z = -25 + -12 Combine like terms: 12 + -12 = 0 0 + -8z = -25 + -12 -8z = -25 + -12 Combine like terms: -25 + -12 = -37 -8z = -37 Divide each side by '-8'. z = 4.625 Simplifying z = 4.625
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