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