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Simplifying 4(w + 9) + -1(4 + -2w) = 5w Reorder the terms: 4(9 + w) + -1(4 + -2w) = 5w (9 * 4 + w * 4) + -1(4 + -2w) = 5w (36 + 4w) + -1(4 + -2w) = 5w 36 + 4w + (4 * -1 + -2w * -1) = 5w 36 + 4w + (-4 + 2w) = 5w Reorder the terms: 36 + -4 + 4w + 2w = 5w Combine like terms: 36 + -4 = 32 32 + 4w + 2w = 5w Combine like terms: 4w + 2w = 6w 32 + 6w = 5w Solving 32 + 6w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 32 + 6w + -5w = 5w + -5w Combine like terms: 6w + -5w = 1w 32 + 1w = 5w + -5w Combine like terms: 5w + -5w = 0 32 + 1w = 0 Add '-32' to each side of the equation. 32 + -32 + 1w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1w = 0 + -32 1w = 0 + -32 Combine like terms: 0 + -32 = -32 1w = -32 Divide each side by '1'. w = -32 Simplifying w = -32
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