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Simplifying 8(x + -1) + -2(x + 3) = 3(2x + -1) + -5 + -17z Reorder the terms: 8(-1 + x) + -2(x + 3) = 3(2x + -1) + -5 + -17z (-1 * 8 + x * 8) + -2(x + 3) = 3(2x + -1) + -5 + -17z (-8 + 8x) + -2(x + 3) = 3(2x + -1) + -5 + -17z Reorder the terms: -8 + 8x + -2(3 + x) = 3(2x + -1) + -5 + -17z -8 + 8x + (3 * -2 + x * -2) = 3(2x + -1) + -5 + -17z -8 + 8x + (-6 + -2x) = 3(2x + -1) + -5 + -17z Reorder the terms: -8 + -6 + 8x + -2x = 3(2x + -1) + -5 + -17z Combine like terms: -8 + -6 = -14 -14 + 8x + -2x = 3(2x + -1) + -5 + -17z Combine like terms: 8x + -2x = 6x -14 + 6x = 3(2x + -1) + -5 + -17z Reorder the terms: -14 + 6x = 3(-1 + 2x) + -5 + -17z -14 + 6x = (-1 * 3 + 2x * 3) + -5 + -17z -14 + 6x = (-3 + 6x) + -5 + -17z Reorder the terms: -14 + 6x = -3 + -5 + 6x + -17z Combine like terms: -3 + -5 = -8 -14 + 6x = -8 + 6x + -17z Add '-6x' to each side of the equation. -14 + 6x + -6x = -8 + 6x + -6x + -17z Combine like terms: 6x + -6x = 0 -14 + 0 = -8 + 6x + -6x + -17z -14 = -8 + 6x + -6x + -17z Combine like terms: 6x + -6x = 0 -14 = -8 + 0 + -17z -14 = -8 + -17z Solving -14 = -8 + -17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17z' to each side of the equation. -14 + 17z = -8 + -17z + 17z Combine like terms: -17z + 17z = 0 -14 + 17z = -8 + 0 -14 + 17z = -8 Add '14' to each side of the equation. -14 + 14 + 17z = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 17z = -8 + 14 17z = -8 + 14 Combine like terms: -8 + 14 = 6 17z = 6 Divide each side by '17'. z = 0.3529411765 Simplifying z = 0.3529411765
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