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Simplifying -2(4w + -8) + 7w = 7(w + 4) Reorder the terms: -2(-8 + 4w) + 7w = 7(w + 4) (-8 * -2 + 4w * -2) + 7w = 7(w + 4) (16 + -8w) + 7w = 7(w + 4) Combine like terms: -8w + 7w = -1w 16 + -1w = 7(w + 4) Reorder the terms: 16 + -1w = 7(4 + w) 16 + -1w = (4 * 7 + w * 7) 16 + -1w = (28 + 7w) Solving 16 + -1w = 28 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 16 + -1w + -7w = 28 + 7w + -7w Combine like terms: -1w + -7w = -8w 16 + -8w = 28 + 7w + -7w Combine like terms: 7w + -7w = 0 16 + -8w = 28 + 0 16 + -8w = 28 Add '-16' to each side of the equation. 16 + -16 + -8w = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -8w = 28 + -16 -8w = 28 + -16 Combine like terms: 28 + -16 = 12 -8w = 12 Divide each side by '-8'. w = -1.5 Simplifying w = -1.5
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