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Simplifying 5(4z + -2) + 9 = 2(8x + 7) Reorder the terms: 5(-2 + 4z) + 9 = 2(8x + 7) (-2 * 5 + 4z * 5) + 9 = 2(8x + 7) (-10 + 20z) + 9 = 2(8x + 7) Reorder the terms: -10 + 9 + 20z = 2(8x + 7) Combine like terms: -10 + 9 = -1 -1 + 20z = 2(8x + 7) Reorder the terms: -1 + 20z = 2(7 + 8x) -1 + 20z = (7 * 2 + 8x * 2) -1 + 20z = (14 + 16x) Solving -1 + 20z = 14 + 16x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 20z = 14 + 1 + 16x Combine like terms: -1 + 1 = 0 0 + 20z = 14 + 1 + 16x 20z = 14 + 1 + 16x Combine like terms: 14 + 1 = 15 20z = 15 + 16x Divide each side by '20'. z = 0.75 + 0.8x Simplifying z = 0.75 + 0.8x
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