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Simplifying 5w + -2 = -6(w + 4) Reorder the terms: -2 + 5w = -6(w + 4) Reorder the terms: -2 + 5w = -6(4 + w) -2 + 5w = (4 * -6 + w * -6) -2 + 5w = (-24 + -6w) Solving -2 + 5w = -24 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -2 + 5w + 6w = -24 + -6w + 6w Combine like terms: 5w + 6w = 11w -2 + 11w = -24 + -6w + 6w Combine like terms: -6w + 6w = 0 -2 + 11w = -24 + 0 -2 + 11w = -24 Add '2' to each side of the equation. -2 + 2 + 11w = -24 + 2 Combine like terms: -2 + 2 = 0 0 + 11w = -24 + 2 11w = -24 + 2 Combine like terms: -24 + 2 = -22 11w = -22 Divide each side by '11'. w = -2 Simplifying w = -2
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