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Simplifying 5 + 6(9z + 8) = 7(2z + 4) + 6 Reorder the terms: 5 + 6(8 + 9z) = 7(2z + 4) + 6 5 + (8 * 6 + 9z * 6) = 7(2z + 4) + 6 5 + (48 + 54z) = 7(2z + 4) + 6 Combine like terms: 5 + 48 = 53 53 + 54z = 7(2z + 4) + 6 Reorder the terms: 53 + 54z = 7(4 + 2z) + 6 53 + 54z = (4 * 7 + 2z * 7) + 6 53 + 54z = (28 + 14z) + 6 Reorder the terms: 53 + 54z = 28 + 6 + 14z Combine like terms: 28 + 6 = 34 53 + 54z = 34 + 14z Solving 53 + 54z = 34 + 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. 53 + 54z + -14z = 34 + 14z + -14z Combine like terms: 54z + -14z = 40z 53 + 40z = 34 + 14z + -14z Combine like terms: 14z + -14z = 0 53 + 40z = 34 + 0 53 + 40z = 34 Add '-53' to each side of the equation. 53 + -53 + 40z = 34 + -53 Combine like terms: 53 + -53 = 0 0 + 40z = 34 + -53 40z = 34 + -53 Combine like terms: 34 + -53 = -19 40z = -19 Divide each side by '40'. z = -0.475 Simplifying z = -0.475
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