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Simplifying -1[7z + -1(16z + 7)] = 7 + (8x + 3) Reorder the terms: -1[7z + -1(7 + 16z)] = 7 + (8x + 3) -1[7z + (7 * -1 + 16z * -1)] = 7 + (8x + 3) -1[7z + (-7 + -16z)] = 7 + (8x + 3) Reorder the terms: -1[-7 + 7z + -16z] = 7 + (8x + 3) Combine like terms: 7z + -16z = -9z -1[-7 + -9z] = 7 + (8x + 3) [-7 * -1 + -9z * -1] = 7 + (8x + 3) [7 + 9z] = 7 + (8x + 3) Reorder the terms: 7 + 9z = 7 + (3 + 8x) Remove parenthesis around (3 + 8x) 7 + 9z = 7 + 3 + 8x Combine like terms: 7 + 3 = 10 7 + 9z = 10 + 8x Solving 7 + 9z = 10 + 8x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9z = 10 + -7 + 8x Combine like terms: 7 + -7 = 0 0 + 9z = 10 + -7 + 8x 9z = 10 + -7 + 8x Combine like terms: 10 + -7 = 3 9z = 3 + 8x Divide each side by '9'. z = 0.3333333333 + 0.8888888889x Simplifying z = 0.3333333333 + 0.8888888889x
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