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Simplifying 4(w + 7) = -7(2w + -2) + 8w Reorder the terms: 4(7 + w) = -7(2w + -2) + 8w (7 * 4 + w * 4) = -7(2w + -2) + 8w (28 + 4w) = -7(2w + -2) + 8w Reorder the terms: 28 + 4w = -7(-2 + 2w) + 8w 28 + 4w = (-2 * -7 + 2w * -7) + 8w 28 + 4w = (14 + -14w) + 8w Combine like terms: -14w + 8w = -6w 28 + 4w = 14 + -6w Solving 28 + 4w = 14 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 28 + 4w + 6w = 14 + -6w + 6w Combine like terms: 4w + 6w = 10w 28 + 10w = 14 + -6w + 6w Combine like terms: -6w + 6w = 0 28 + 10w = 14 + 0 28 + 10w = 14 Add '-28' to each side of the equation. 28 + -28 + 10w = 14 + -28 Combine like terms: 28 + -28 = 0 0 + 10w = 14 + -28 10w = 14 + -28 Combine like terms: 14 + -28 = -14 10w = -14 Divide each side by '10'. w = -1.4 Simplifying w = -1.4
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