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Simplifying (12.5x + 17) + -1(5x + 0.4w) = 0 Reorder the terms: (17 + 12.5x) + -1(5x + 0.4w) = 0 Remove parenthesis around (17 + 12.5x) 17 + 12.5x + -1(5x + 0.4w) = 0 Reorder the terms: 17 + 12.5x + -1(0.4w + 5x) = 0 17 + 12.5x + (0.4w * -1 + 5x * -1) = 0 17 + 12.5x + (-0.4w + -5x) = 0 Reorder the terms: 17 + -0.4w + 12.5x + -5x = 0 Combine like terms: 12.5x + -5x = 7.5x 17 + -0.4w + 7.5x = 0 Solving 17 + -0.4w + 7.5x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -0.4w + -17 + 7.5x = 0 + -17 Reorder the terms: 17 + -17 + -0.4w + 7.5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -0.4w + 7.5x = 0 + -17 -0.4w + 7.5x = 0 + -17 Combine like terms: 0 + -17 = -17 -0.4w + 7.5x = -17 Add '-7.5x' to each side of the equation. -0.4w + 7.5x + -7.5x = -17 + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -0.4w + 0.0 = -17 + -7.5x -0.4w = -17 + -7.5x Divide each side by '-0.4'. w = 42.5 + 18.75x Simplifying w = 42.5 + 18.75x
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