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Simplifying -6(w + -2) + -1(8 + -5w) = 2w Reorder the terms: -6(-2 + w) + -1(8 + -5w) = 2w (-2 * -6 + w * -6) + -1(8 + -5w) = 2w (12 + -6w) + -1(8 + -5w) = 2w 12 + -6w + (8 * -1 + -5w * -1) = 2w 12 + -6w + (-8 + 5w) = 2w Reorder the terms: 12 + -8 + -6w + 5w = 2w Combine like terms: 12 + -8 = 4 4 + -6w + 5w = 2w Combine like terms: -6w + 5w = -1w 4 + -1w = 2w Solving 4 + -1w = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 4 + -1w + -2w = 2w + -2w Combine like terms: -1w + -2w = -3w 4 + -3w = 2w + -2w Combine like terms: 2w + -2w = 0 4 + -3w = 0 Add '-4' to each side of the equation. 4 + -4 + -3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = 0 + -4 -3w = 0 + -4 Combine like terms: 0 + -4 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333
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