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Simplifying 2(2w + -6) = (6w + -6) + 14 Reorder the terms: 2(-6 + 2w) = (6w + -6) + 14 (-6 * 2 + 2w * 2) = (6w + -6) + 14 (-12 + 4w) = (6w + -6) + 14 Reorder the terms: -12 + 4w = (-6 + 6w) + 14 Remove parenthesis around (-6 + 6w) -12 + 4w = -6 + 6w + 14 Reorder the terms: -12 + 4w = -6 + 14 + 6w Combine like terms: -6 + 14 = 8 -12 + 4w = 8 + 6w Solving -12 + 4w = 8 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -12 + 4w + -6w = 8 + 6w + -6w Combine like terms: 4w + -6w = -2w -12 + -2w = 8 + 6w + -6w Combine like terms: 6w + -6w = 0 -12 + -2w = 8 + 0 -12 + -2w = 8 Add '12' to each side of the equation. -12 + 12 + -2w = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = 8 + 12 -2w = 8 + 12 Combine like terms: 8 + 12 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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