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Simplifying 8(w + 5) + -1(4w + -2) = 3w Reorder the terms: 8(5 + w) + -1(4w + -2) = 3w (5 * 8 + w * 8) + -1(4w + -2) = 3w (40 + 8w) + -1(4w + -2) = 3w Reorder the terms: 40 + 8w + -1(-2 + 4w) = 3w 40 + 8w + (-2 * -1 + 4w * -1) = 3w 40 + 8w + (2 + -4w) = 3w Reorder the terms: 40 + 2 + 8w + -4w = 3w Combine like terms: 40 + 2 = 42 42 + 8w + -4w = 3w Combine like terms: 8w + -4w = 4w 42 + 4w = 3w Solving 42 + 4w = 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. 42 + 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w 42 + 1w = 3w + -3w Combine like terms: 3w + -3w = 0 42 + 1w = 0 Add '-42' to each side of the equation. 42 + -42 + 1w = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 1w = 0 + -42 1w = 0 + -42 Combine like terms: 0 + -42 = -42 1w = -42 Divide each side by '1'. w = -42 Simplifying w = -42
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