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Simplifying 7(w + 4) = 2w + -10 Reorder the terms: 7(4 + w) = 2w + -10 (4 * 7 + w * 7) = 2w + -10 (28 + 7w) = 2w + -10 Reorder the terms: 28 + 7w = -10 + 2w Solving 28 + 7w = -10 + 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. 28 + 7w + -2w = -10 + 2w + -2w Combine like terms: 7w + -2w = 5w 28 + 5w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 28 + 5w = -10 + 0 28 + 5w = -10 Add '-28' to each side of the equation. 28 + -28 + 5w = -10 + -28 Combine like terms: 28 + -28 = 0 0 + 5w = -10 + -28 5w = -10 + -28 Combine like terms: -10 + -28 = -38 5w = -38 Divide each side by '5'. w = -7.6 Simplifying w = -7.6
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