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Simplifying -29 = 3w + 7(w + 3) Reorder the terms: -29 = 3w + 7(3 + w) -29 = 3w + (3 * 7 + w * 7) -29 = 3w + (21 + 7w) Reorder the terms: -29 = 21 + 3w + 7w Combine like terms: 3w + 7w = 10w -29 = 21 + 10w Solving -29 = 21 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -29 + -10w = 21 + 10w + -10w Combine like terms: 10w + -10w = 0 -29 + -10w = 21 + 0 -29 + -10w = 21 Add '29' to each side of the equation. -29 + 29 + -10w = 21 + 29 Combine like terms: -29 + 29 = 0 0 + -10w = 21 + 29 -10w = 21 + 29 Combine like terms: 21 + 29 = 50 -10w = 50 Divide each side by '-10'. w = -5 Simplifying w = -5
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