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Simplifying 2(w + -6) = 6(w + -6) + 14 Reorder the terms: 2(-6 + w) = 6(w + -6) + 14 (-6 * 2 + w * 2) = 6(w + -6) + 14 (-12 + 2w) = 6(w + -6) + 14 Reorder the terms: -12 + 2w = 6(-6 + w) + 14 -12 + 2w = (-6 * 6 + w * 6) + 14 -12 + 2w = (-36 + 6w) + 14 Reorder the terms: -12 + 2w = -36 + 14 + 6w Combine like terms: -36 + 14 = -22 -12 + 2w = -22 + 6w Solving -12 + 2w = -22 + 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 + 2w + -6w = -22 + 6w + -6w Combine like terms: 2w + -6w = -4w -12 + -4w = -22 + 6w + -6w Combine like terms: 6w + -6w = 0 -12 + -4w = -22 + 0 -12 + -4w = -22 Add '12' to each side of the equation. -12 + 12 + -4w = -22 + 12 Combine like terms: -12 + 12 = 0 0 + -4w = -22 + 12 -4w = -22 + 12 Combine like terms: -22 + 12 = -10 -4w = -10 Divide each side by '-4'. w = 2.5 Simplifying w = 2.5
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