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Simplifying 29 = 4w + 3(w + -2) Reorder the terms: 29 = 4w + 3(-2 + w) 29 = 4w + (-2 * 3 + w * 3) 29 = 4w + (-6 + 3w) Reorder the terms: 29 = -6 + 4w + 3w Combine like terms: 4w + 3w = 7w 29 = -6 + 7w Solving 29 = -6 + 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 + -7w = -6 + 7w + -7w Combine like terms: 7w + -7w = 0 29 + -7w = -6 + 0 29 + -7w = -6 Add '-29' to each side of the equation. 29 + -29 + -7w = -6 + -29 Combine like terms: 29 + -29 = 0 0 + -7w = -6 + -29 -7w = -6 + -29 Combine like terms: -6 + -29 = -35 -7w = -35 Divide each side by '-7'. w = 5 Simplifying w = 5
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