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Simplifying 14 + -2(w + 1) = 6w + -2(6 + w) Reorder the terms: 14 + -2(1 + w) = 6w + -2(6 + w) 14 + (1 * -2 + w * -2) = 6w + -2(6 + w) 14 + (-2 + -2w) = 6w + -2(6 + w) Combine like terms: 14 + -2 = 12 12 + -2w = 6w + -2(6 + w) 12 + -2w = 6w + (6 * -2 + w * -2) 12 + -2w = 6w + (-12 + -2w) Reorder the terms: 12 + -2w = -12 + 6w + -2w Combine like terms: 6w + -2w = 4w 12 + -2w = -12 + 4w Solving 12 + -2w = -12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 12 + -2w + -4w = -12 + 4w + -4w Combine like terms: -2w + -4w = -6w 12 + -6w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 12 + -6w = -12 + 0 12 + -6w = -12 Add '-12' to each side of the equation. 12 + -12 + -6w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = -12 + -12 -6w = -12 + -12 Combine like terms: -12 + -12 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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