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Simplifying -5(-2w + 2) + -2w = 2(w + -3) + -8 Reorder the terms: -5(2 + -2w) + -2w = 2(w + -3) + -8 (2 * -5 + -2w * -5) + -2w = 2(w + -3) + -8 (-10 + 10w) + -2w = 2(w + -3) + -8 Combine like terms: 10w + -2w = 8w -10 + 8w = 2(w + -3) + -8 Reorder the terms: -10 + 8w = 2(-3 + w) + -8 -10 + 8w = (-3 * 2 + w * 2) + -8 -10 + 8w = (-6 + 2w) + -8 Reorder the terms: -10 + 8w = -6 + -8 + 2w Combine like terms: -6 + -8 = -14 -10 + 8w = -14 + 2w Solving -10 + 8w = -14 + 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. -10 + 8w + -2w = -14 + 2w + -2w Combine like terms: 8w + -2w = 6w -10 + 6w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + 6w = -14 + 0 -10 + 6w = -14 Add '10' to each side of the equation. -10 + 10 + 6w = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 6w = -14 + 10 6w = -14 + 10 Combine like terms: -14 + 10 = -4 6w = -4 Divide each side by '6'. w = -0.6666666667 Simplifying w = -0.6666666667
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