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Simplifying 6(w + 3) + -1(2w + -7) = w + -2 Reorder the terms: 6(3 + w) + -1(2w + -7) = w + -2 (3 * 6 + w * 6) + -1(2w + -7) = w + -2 (18 + 6w) + -1(2w + -7) = w + -2 Reorder the terms: 18 + 6w + -1(-7 + 2w) = w + -2 18 + 6w + (-7 * -1 + 2w * -1) = w + -2 18 + 6w + (7 + -2w) = w + -2 Reorder the terms: 18 + 7 + 6w + -2w = w + -2 Combine like terms: 18 + 7 = 25 25 + 6w + -2w = w + -2 Combine like terms: 6w + -2w = 4w 25 + 4w = w + -2 Reorder the terms: 25 + 4w = -2 + w Solving 25 + 4w = -2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 25 + 4w + -1w = -2 + w + -1w Combine like terms: 4w + -1w = 3w 25 + 3w = -2 + w + -1w Combine like terms: w + -1w = 0 25 + 3w = -2 + 0 25 + 3w = -2 Add '-25' to each side of the equation. 25 + -25 + 3w = -2 + -25 Combine like terms: 25 + -25 = 0 0 + 3w = -2 + -25 3w = -2 + -25 Combine like terms: -2 + -25 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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