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Simplifying -29 = 6w + 7(w + 7) Reorder the terms: -29 = 6w + 7(7 + w) -29 = 6w + (7 * 7 + w * 7) -29 = 6w + (49 + 7w) Reorder the terms: -29 = 49 + 6w + 7w Combine like terms: 6w + 7w = 13w -29 = 49 + 13w Solving -29 = 49 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -29 + -13w = 49 + 13w + -13w Combine like terms: 13w + -13w = 0 -29 + -13w = 49 + 0 -29 + -13w = 49 Add '29' to each side of the equation. -29 + 29 + -13w = 49 + 29 Combine like terms: -29 + 29 = 0 0 + -13w = 49 + 29 -13w = 49 + 29 Combine like terms: 49 + 29 = 78 -13w = 78 Divide each side by '-13'. w = -6 Simplifying w = -6
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