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Simplifying -6w + 12 = -2 + (3w + -4) Reorder the terms: 12 + -6w = -2 + (3w + -4) Reorder the terms: 12 + -6w = -2 + (-4 + 3w) Remove parenthesis around (-4 + 3w) 12 + -6w = -2 + -4 + 3w Combine like terms: -2 + -4 = -6 12 + -6w = -6 + 3w Solving 12 + -6w = -6 + 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. 12 + -6w + -3w = -6 + 3w + -3w Combine like terms: -6w + -3w = -9w 12 + -9w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -9w = -6 + 0 12 + -9w = -6 Add '-12' to each side of the equation. 12 + -12 + -9w = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9w = -6 + -12 -9w = -6 + -12 Combine like terms: -6 + -12 = -18 -9w = -18 Divide each side by '-9'. w = 2 Simplifying w = 2
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