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Simplifying (-3w + 8) + 2(w + 10) = 3w + -32 Reorder the terms: (8 + -3w) + 2(w + 10) = 3w + -32 Remove parenthesis around (8 + -3w) 8 + -3w + 2(w + 10) = 3w + -32 Reorder the terms: 8 + -3w + 2(10 + w) = 3w + -32 8 + -3w + (10 * 2 + w * 2) = 3w + -32 8 + -3w + (20 + 2w) = 3w + -32 Reorder the terms: 8 + 20 + -3w + 2w = 3w + -32 Combine like terms: 8 + 20 = 28 28 + -3w + 2w = 3w + -32 Combine like terms: -3w + 2w = -1w 28 + -1w = 3w + -32 Reorder the terms: 28 + -1w = -32 + 3w Solving 28 + -1w = -32 + 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. 28 + -1w + -3w = -32 + 3w + -3w Combine like terms: -1w + -3w = -4w 28 + -4w = -32 + 3w + -3w Combine like terms: 3w + -3w = 0 28 + -4w = -32 + 0 28 + -4w = -32 Add '-28' to each side of the equation. 28 + -28 + -4w = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -4w = -32 + -28 -4w = -32 + -28 Combine like terms: -32 + -28 = -60 -4w = -60 Divide each side by '-4'. w = 15 Simplifying w = 15
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