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Simplifying 6(w + -3) = 3w + 9 Reorder the terms: 6(-3 + w) = 3w + 9 (-3 * 6 + w * 6) = 3w + 9 (-18 + 6w) = 3w + 9 Reorder the terms: -18 + 6w = 9 + 3w Solving -18 + 6w = 9 + 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. -18 + 6w + -3w = 9 + 3w + -3w Combine like terms: 6w + -3w = 3w -18 + 3w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 -18 + 3w = 9 + 0 -18 + 3w = 9 Add '18' to each side of the equation. -18 + 18 + 3w = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 3w = 9 + 18 3w = 9 + 18 Combine like terms: 9 + 18 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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