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Simplifying 4(w + -8) + -1(-2w + -3) = 5w Reorder the terms: 4(-8 + w) + -1(-2w + -3) = 5w (-8 * 4 + w * 4) + -1(-2w + -3) = 5w (-32 + 4w) + -1(-2w + -3) = 5w Reorder the terms: -32 + 4w + -1(-3 + -2w) = 5w -32 + 4w + (-3 * -1 + -2w * -1) = 5w -32 + 4w + (3 + 2w) = 5w Reorder the terms: -32 + 3 + 4w + 2w = 5w Combine like terms: -32 + 3 = -29 -29 + 4w + 2w = 5w Combine like terms: 4w + 2w = 6w -29 + 6w = 5w Solving -29 + 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. -29 + 6w + -5w = 5w + -5w Combine like terms: 6w + -5w = 1w -29 + 1w = 5w + -5w Combine like terms: 5w + -5w = 0 -29 + 1w = 0 Add '29' to each side of the equation. -29 + 29 + 1w = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1w = 0 + 29 1w = 0 + 29 Combine like terms: 0 + 29 = 29 1w = 29 Divide each side by '1'. w = 29 Simplifying w = 29
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