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Simplifying -7 + 4(2z + 1) = 4(9x + 5) + -7 Reorder the terms: -7 + 4(1 + 2z) = 4(9x + 5) + -7 -7 + (1 * 4 + 2z * 4) = 4(9x + 5) + -7 -7 + (4 + 8z) = 4(9x + 5) + -7 Combine like terms: -7 + 4 = -3 -3 + 8z = 4(9x + 5) + -7 Reorder the terms: -3 + 8z = 4(5 + 9x) + -7 -3 + 8z = (5 * 4 + 9x * 4) + -7 -3 + 8z = (20 + 36x) + -7 Reorder the terms: -3 + 8z = 20 + -7 + 36x Combine like terms: 20 + -7 = 13 -3 + 8z = 13 + 36x Solving -3 + 8z = 13 + 36x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8z = 13 + 3 + 36x Combine like terms: -3 + 3 = 0 0 + 8z = 13 + 3 + 36x 8z = 13 + 3 + 36x Combine like terms: 13 + 3 = 16 8z = 16 + 36x Divide each side by '8'. z = 2 + 4.5x Simplifying z = 2 + 4.5x
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