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Simplifying -2(w + 4) + -1(6 + -6w) = 3w Reorder the terms: -2(4 + w) + -1(6 + -6w) = 3w (4 * -2 + w * -2) + -1(6 + -6w) = 3w (-8 + -2w) + -1(6 + -6w) = 3w -8 + -2w + (6 * -1 + -6w * -1) = 3w -8 + -2w + (-6 + 6w) = 3w Reorder the terms: -8 + -6 + -2w + 6w = 3w Combine like terms: -8 + -6 = -14 -14 + -2w + 6w = 3w Combine like terms: -2w + 6w = 4w -14 + 4w = 3w Solving -14 + 4w = 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. -14 + 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w -14 + 1w = 3w + -3w Combine like terms: 3w + -3w = 0 -14 + 1w = 0 Add '14' to each side of the equation. -14 + 14 + 1w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1w = 0 + 14 1w = 0 + 14 Combine like terms: 0 + 14 = 14 1w = 14 Divide each side by '1'. w = 14 Simplifying w = 14
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