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Simplifying 6(w + -4) = 3(w + 9) Reorder the terms: 6(-4 + w) = 3(w + 9) (-4 * 6 + w * 6) = 3(w + 9) (-24 + 6w) = 3(w + 9) Reorder the terms: -24 + 6w = 3(9 + w) -24 + 6w = (9 * 3 + w * 3) -24 + 6w = (27 + 3w) Solving -24 + 6w = 27 + 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. -24 + 6w + -3w = 27 + 3w + -3w Combine like terms: 6w + -3w = 3w -24 + 3w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 -24 + 3w = 27 + 0 -24 + 3w = 27 Add '24' to each side of the equation. -24 + 24 + 3w = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 3w = 27 + 24 3w = 27 + 24 Combine like terms: 27 + 24 = 51 3w = 51 Divide each side by '3'. w = 17 Simplifying w = 17
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