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Simplifying 4 + -6(w + 2) = 10 + 5w Reorder the terms: 4 + -6(2 + w) = 10 + 5w 4 + (2 * -6 + w * -6) = 10 + 5w 4 + (-12 + -6w) = 10 + 5w Combine like terms: 4 + -12 = -8 -8 + -6w = 10 + 5w Solving -8 + -6w = 10 + 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. -8 + -6w + -5w = 10 + 5w + -5w Combine like terms: -6w + -5w = -11w -8 + -11w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 -8 + -11w = 10 + 0 -8 + -11w = 10 Add '8' to each side of the equation. -8 + 8 + -11w = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -11w = 10 + 8 -11w = 10 + 8 Combine like terms: 10 + 8 = 18 -11w = 18 Divide each side by '-11'. w = -1.636363636 Simplifying w = -1.636363636
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