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Simplifying 4w + 29 = 7(w + 5) Reorder the terms: 29 + 4w = 7(w + 5) Reorder the terms: 29 + 4w = 7(5 + w) 29 + 4w = (5 * 7 + w * 7) 29 + 4w = (35 + 7w) Solving 29 + 4w = 35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 29 + 4w + -7w = 35 + 7w + -7w Combine like terms: 4w + -7w = -3w 29 + -3w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 29 + -3w = 35 + 0 29 + -3w = 35 Add '-29' to each side of the equation. 29 + -29 + -3w = 35 + -29 Combine like terms: 29 + -29 = 0 0 + -3w = 35 + -29 -3w = 35 + -29 Combine like terms: 35 + -29 = 6 -3w = 6 Divide each side by '-3'. w = -2 Simplifying w = -2
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