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Simplifying 7w + -29 = 2(w + -2) Reorder the terms: -29 + 7w = 2(w + -2) Reorder the terms: -29 + 7w = 2(-2 + w) -29 + 7w = (-2 * 2 + w * 2) -29 + 7w = (-4 + 2w) Solving -29 + 7w = -4 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -29 + 7w + -2w = -4 + 2w + -2w Combine like terms: 7w + -2w = 5w -29 + 5w = -4 + 2w + -2w Combine like terms: 2w + -2w = 0 -29 + 5w = -4 + 0 -29 + 5w = -4 Add '29' to each side of the equation. -29 + 29 + 5w = -4 + 29 Combine like terms: -29 + 29 = 0 0 + 5w = -4 + 29 5w = -4 + 29 Combine like terms: -4 + 29 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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