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Simplifying 2(3w + 2) + -12 = 3w + -11 Reorder the terms: 2(2 + 3w) + -12 = 3w + -11 (2 * 2 + 3w * 2) + -12 = 3w + -11 (4 + 6w) + -12 = 3w + -11 Reorder the terms: 4 + -12 + 6w = 3w + -11 Combine like terms: 4 + -12 = -8 -8 + 6w = 3w + -11 Reorder the terms: -8 + 6w = -11 + 3w Solving -8 + 6w = -11 + 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. -8 + 6w + -3w = -11 + 3w + -3w Combine like terms: 6w + -3w = 3w -8 + 3w = -11 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 3w = -11 + 0 -8 + 3w = -11 Add '8' to each side of the equation. -8 + 8 + 3w = -11 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = -11 + 8 3w = -11 + 8 Combine like terms: -11 + 8 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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