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Simplifying 7(w + 1) + -4w = w + -8 Reorder the terms: 7(1 + w) + -4w = w + -8 (1 * 7 + w * 7) + -4w = w + -8 (7 + 7w) + -4w = w + -8 Combine like terms: 7w + -4w = 3w 7 + 3w = w + -8 Reorder the terms: 7 + 3w = -8 + w Solving 7 + 3w = -8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 7 + 3w + -1w = -8 + w + -1w Combine like terms: 3w + -1w = 2w 7 + 2w = -8 + w + -1w Combine like terms: w + -1w = 0 7 + 2w = -8 + 0 7 + 2w = -8 Add '-7' to each side of the equation. 7 + -7 + 2w = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = -8 + -7 2w = -8 + -7 Combine like terms: -8 + -7 = -15 2w = -15 Divide each side by '2'. w = -7.5 Simplifying w = -7.5
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