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Simplifying 4(w + 5) + -1(6w + -8) = -3w Reorder the terms: 4(5 + w) + -1(6w + -8) = -3w (5 * 4 + w * 4) + -1(6w + -8) = -3w (20 + 4w) + -1(6w + -8) = -3w Reorder the terms: 20 + 4w + -1(-8 + 6w) = -3w 20 + 4w + (-8 * -1 + 6w * -1) = -3w 20 + 4w + (8 + -6w) = -3w Reorder the terms: 20 + 8 + 4w + -6w = -3w Combine like terms: 20 + 8 = 28 28 + 4w + -6w = -3w Combine like terms: 4w + -6w = -2w 28 + -2w = -3w Solving 28 + -2w = -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 + -2w + 3w = -3w + 3w Combine like terms: -2w + 3w = 1w 28 + 1w = -3w + 3w Combine like terms: -3w + 3w = 0 28 + 1w = 0 Add '-28' to each side of the equation. 28 + -28 + 1w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = 0 + -28 1w = 0 + -28 Combine like terms: 0 + -28 = -28 1w = -28 Divide each side by '1'. w = -28 Simplifying w = -28
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