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Simplifying -5(w + 3) + -1(4 + -2w) = -4w Reorder the terms: -5(3 + w) + -1(4 + -2w) = -4w (3 * -5 + w * -5) + -1(4 + -2w) = -4w (-15 + -5w) + -1(4 + -2w) = -4w -15 + -5w + (4 * -1 + -2w * -1) = -4w -15 + -5w + (-4 + 2w) = -4w Reorder the terms: -15 + -4 + -5w + 2w = -4w Combine like terms: -15 + -4 = -19 -19 + -5w + 2w = -4w Combine like terms: -5w + 2w = -3w -19 + -3w = -4w Solving -19 + -3w = -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. -19 + -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w -19 + 1w = -4w + 4w Combine like terms: -4w + 4w = 0 -19 + 1w = 0 Add '19' to each side of the equation. -19 + 19 + 1w = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1w = 0 + 19 1w = 0 + 19 Combine like terms: 0 + 19 = 19 1w = 19 Divide each side by '1'. w = 19 Simplifying w = 19
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