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