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Simplifying -7 + 4(2z + 1) = 4(9z + 5) + -7 Reorder the terms: -7 + 4(1 + 2z) = 4(9z + 5) + -7 -7 + (1 * 4 + 2z * 4) = 4(9z + 5) + -7 -7 + (4 + 8z) = 4(9z + 5) + -7 Combine like terms: -7 + 4 = -3 -3 + 8z = 4(9z + 5) + -7 Reorder the terms: -3 + 8z = 4(5 + 9z) + -7 -3 + 8z = (5 * 4 + 9z * 4) + -7 -3 + 8z = (20 + 36z) + -7 Reorder the terms: -3 + 8z = 20 + -7 + 36z Combine like terms: 20 + -7 = 13 -3 + 8z = 13 + 36z Solving -3 + 8z = 13 + 36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36z' to each side of the equation. -3 + 8z + -36z = 13 + 36z + -36z Combine like terms: 8z + -36z = -28z -3 + -28z = 13 + 36z + -36z Combine like terms: 36z + -36z = 0 -3 + -28z = 13 + 0 -3 + -28z = 13 Add '3' to each side of the equation. -3 + 3 + -28z = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -28z = 13 + 3 -28z = 13 + 3 Combine like terms: 13 + 3 = 16 -28z = 16 Divide each side by '-28'. z = -0.5714285714 Simplifying z = -0.5714285714
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