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Simplifying 8(w + 1) + -1(9 + 3w) = 4w Reorder the terms: 8(1 + w) + -1(9 + 3w) = 4w (1 * 8 + w * 8) + -1(9 + 3w) = 4w (8 + 8w) + -1(9 + 3w) = 4w 8 + 8w + (9 * -1 + 3w * -1) = 4w 8 + 8w + (-9 + -3w) = 4w Reorder the terms: 8 + -9 + 8w + -3w = 4w Combine like terms: 8 + -9 = -1 -1 + 8w + -3w = 4w Combine like terms: 8w + -3w = 5w -1 + 5w = 4w Solving -1 + 5w = 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -1 + 5w + -4w = 4w + -4w Combine like terms: 5w + -4w = 1w -1 + 1w = 4w + -4w Combine like terms: 4w + -4w = 0 -1 + 1w = 0 Add '1' to each side of the equation. -1 + 1 + 1w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1w = 0 + 1 1w = 0 + 1 Combine like terms: 0 + 1 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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