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Simplifying -7w + 2(w + 6) = 9 + -1(4w + -10) Reorder the terms: -7w + 2(6 + w) = 9 + -1(4w + -10) -7w + (6 * 2 + w * 2) = 9 + -1(4w + -10) -7w + (12 + 2w) = 9 + -1(4w + -10) Reorder the terms: 12 + -7w + 2w = 9 + -1(4w + -10) Combine like terms: -7w + 2w = -5w 12 + -5w = 9 + -1(4w + -10) Reorder the terms: 12 + -5w = 9 + -1(-10 + 4w) 12 + -5w = 9 + (-10 * -1 + 4w * -1) 12 + -5w = 9 + (10 + -4w) Combine like terms: 9 + 10 = 19 12 + -5w = 19 + -4w Solving 12 + -5w = 19 + -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. 12 + -5w + 4w = 19 + -4w + 4w Combine like terms: -5w + 4w = -1w 12 + -1w = 19 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + -1w = 19 + 0 12 + -1w = 19 Add '-12' to each side of the equation. 12 + -12 + -1w = 19 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 19 + -12 -1w = 19 + -12 Combine like terms: 19 + -12 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7
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