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Simplifying 6(w + -2) = 3w + 2(w + 1) Reorder the terms: 6(-2 + w) = 3w + 2(w + 1) (-2 * 6 + w * 6) = 3w + 2(w + 1) (-12 + 6w) = 3w + 2(w + 1) Reorder the terms: -12 + 6w = 3w + 2(1 + w) -12 + 6w = 3w + (1 * 2 + w * 2) -12 + 6w = 3w + (2 + 2w) Reorder the terms: -12 + 6w = 2 + 3w + 2w Combine like terms: 3w + 2w = 5w -12 + 6w = 2 + 5w Solving -12 + 6w = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -12 + 6w + -5w = 2 + 5w + -5w Combine like terms: 6w + -5w = 1w -12 + 1w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 -12 + 1w = 2 + 0 -12 + 1w = 2 Add '12' to each side of the equation. -12 + 12 + 1w = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = 2 + 12 1w = 2 + 12 Combine like terms: 2 + 12 = 14 1w = 14 Divide each side by '1'. w = 14 Simplifying w = 14
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