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Simplifying 5(3 + -1w) + 3 = -3(w + -4) + -8 (3 * 5 + -1w * 5) + 3 = -3(w + -4) + -8 (15 + -5w) + 3 = -3(w + -4) + -8 Reorder the terms: 15 + 3 + -5w = -3(w + -4) + -8 Combine like terms: 15 + 3 = 18 18 + -5w = -3(w + -4) + -8 Reorder the terms: 18 + -5w = -3(-4 + w) + -8 18 + -5w = (-4 * -3 + w * -3) + -8 18 + -5w = (12 + -3w) + -8 Reorder the terms: 18 + -5w = 12 + -8 + -3w Combine like terms: 12 + -8 = 4 18 + -5w = 4 + -3w Solving 18 + -5w = 4 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 18 + -5w + 3w = 4 + -3w + 3w Combine like terms: -5w + 3w = -2w 18 + -2w = 4 + -3w + 3w Combine like terms: -3w + 3w = 0 18 + -2w = 4 + 0 18 + -2w = 4 Add '-18' to each side of the equation. 18 + -18 + -2w = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -2w = 4 + -18 -2w = 4 + -18 Combine like terms: 4 + -18 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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