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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 = 2 2 + -3w = 6(w + 5) + -2w Reorder the terms: 2 + -3w = 6(5 + w) + -2w 2 + -3w = (5 * 6 + w * 6) + -2w 2 + -3w = (30 + 6w) + -2w Combine like terms: 6w + -2w = 4w 2 + -3w = 30 + 4w Solving 2 + -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. 2 + -3w + -4w = 30 + 4w + -4w Combine like terms: -3w + -4w = -7w 2 + -7w = 30 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + -7w = 30 + 0 2 + -7w = 30 Add '-2' to each side of the equation. 2 + -2 + -7w = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -7w = 30 + -2 -7w = 30 + -2 Combine like terms: 30 + -2 = 28 -7w = 28 Divide each side by '-7'. w = -4 Simplifying w = -4
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