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Simplifying -7(w + -2) = 5(3 + -1w) Reorder the terms: -7(-2 + w) = 5(3 + -1w) (-2 * -7 + w * -7) = 5(3 + -1w) (14 + -7w) = 5(3 + -1w) 14 + -7w = (3 * 5 + -1w * 5) 14 + -7w = (15 + -5w) Solving 14 + -7w = 15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 14 + -7w + 5w = 15 + -5w + 5w Combine like terms: -7w + 5w = -2w 14 + -2w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 14 + -2w = 15 + 0 14 + -2w = 15 Add '-14' to each side of the equation. 14 + -14 + -2w = 15 + -14 Combine like terms: 14 + -14 = 0 0 + -2w = 15 + -14 -2w = 15 + -14 Combine like terms: 15 + -14 = 1 -2w = 1 Divide each side by '-2'. w = -0.5 Simplifying w = -0.5
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