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Simplifying 19 = 2(w + -4) + -5w Reorder the terms: 19 = 2(-4 + w) + -5w 19 = (-4 * 2 + w * 2) + -5w 19 = (-8 + 2w) + -5w Combine like terms: 2w + -5w = -3w 19 = -8 + -3w Solving 19 = -8 + -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. 19 + 3w = -8 + -3w + 3w Combine like terms: -3w + 3w = 0 19 + 3w = -8 + 0 19 + 3w = -8 Add '-19' to each side of the equation. 19 + -19 + 3w = -8 + -19 Combine like terms: 19 + -19 = 0 0 + 3w = -8 + -19 3w = -8 + -19 Combine like terms: -8 + -19 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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