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Simplifying 17 + -3(w + -5) = 6(w + 5) + -2w Reorder the terms: 17 + -3(-5 + w) = 6(w + 5) + -2w 17 + (-5 * -3 + w * -3) = 6(w + 5) + -2w 17 + (15 + -3w) = 6(w + 5) + -2w Combine like terms: 17 + 15 = 32 32 + -3w = 6(w + 5) + -2w Reorder the terms: 32 + -3w = 6(5 + w) + -2w 32 + -3w = (5 * 6 + w * 6) + -2w 32 + -3w = (30 + 6w) + -2w Combine like terms: 6w + -2w = 4w 32 + -3w = 30 + 4w Solving 32 + -3w = 30 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 32 + -3w + -4w = 30 + 4w + -4w Combine like terms: -3w + -4w = -7w 32 + -7w = 30 + 4w + -4w Combine like terms: 4w + -4w = 0 32 + -7w = 30 + 0 32 + -7w = 30 Add '-32' to each side of the equation. 32 + -32 + -7w = 30 + -32 Combine like terms: 32 + -32 = 0 0 + -7w = 30 + -32 -7w = 30 + -32 Combine like terms: 30 + -32 = -2 -7w = -2 Divide each side by '-7'. w = 0.2857142857 Simplifying w = 0.2857142857
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