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Simplifying 7(w + 3) + -1(8 + 5w) = w Reorder the terms: 7(3 + w) + -1(8 + 5w) = w (3 * 7 + w * 7) + -1(8 + 5w) = w (21 + 7w) + -1(8 + 5w) = w 21 + 7w + (8 * -1 + 5w * -1) = w 21 + 7w + (-8 + -5w) = w Reorder the terms: 21 + -8 + 7w + -5w = w Combine like terms: 21 + -8 = 13 13 + 7w + -5w = w Combine like terms: 7w + -5w = 2w 13 + 2w = w Solving 13 + 2w = 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. 13 + 2w + -1w = w + -1w Combine like terms: 2w + -1w = 1w 13 + 1w = w + -1w Combine like terms: w + -1w = 0 13 + 1w = 0 Add '-13' to each side of the equation. 13 + -13 + 1w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1w = 0 + -13 1w = 0 + -13 Combine like terms: 0 + -13 = -13 1w = -13 Divide each side by '1'. w = -13 Simplifying w = -13
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