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Simplifying 3(2w + -1) = 3(w + 3) Reorder the terms: 3(-1 + 2w) = 3(w + 3) (-1 * 3 + 2w * 3) = 3(w + 3) (-3 + 6w) = 3(w + 3) Reorder the terms: -3 + 6w = 3(3 + w) -3 + 6w = (3 * 3 + w * 3) -3 + 6w = (9 + 3w) Solving -3 + 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. -3 + 6w + -3w = 9 + 3w + -3w Combine like terms: 6w + -3w = 3w -3 + 3w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + 3w = 9 + 0 -3 + 3w = 9 Add '3' to each side of the equation. -3 + 3 + 3w = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3w = 9 + 3 3w = 9 + 3 Combine like terms: 9 + 3 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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