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Simplifying 5(3w + -2) + -10w = -2(3w + -10) Reorder the terms: 5(-2 + 3w) + -10w = -2(3w + -10) (-2 * 5 + 3w * 5) + -10w = -2(3w + -10) (-10 + 15w) + -10w = -2(3w + -10) Combine like terms: 15w + -10w = 5w -10 + 5w = -2(3w + -10) Reorder the terms: -10 + 5w = -2(-10 + 3w) -10 + 5w = (-10 * -2 + 3w * -2) -10 + 5w = (20 + -6w) Solving -10 + 5w = 20 + -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. -10 + 5w + 6w = 20 + -6w + 6w Combine like terms: 5w + 6w = 11w -10 + 11w = 20 + -6w + 6w Combine like terms: -6w + 6w = 0 -10 + 11w = 20 + 0 -10 + 11w = 20 Add '10' to each side of the equation. -10 + 10 + 11w = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 11w = 20 + 10 11w = 20 + 10 Combine like terms: 20 + 10 = 30 11w = 30 Divide each side by '11'. w = 2.727272727 Simplifying w = 2.727272727
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