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Simplifying -5(2w + -2) + 4w = 4(w + 3) Reorder the terms: -5(-2 + 2w) + 4w = 4(w + 3) (-2 * -5 + 2w * -5) + 4w = 4(w + 3) (10 + -10w) + 4w = 4(w + 3) Combine like terms: -10w + 4w = -6w 10 + -6w = 4(w + 3) Reorder the terms: 10 + -6w = 4(3 + w) 10 + -6w = (3 * 4 + w * 4) 10 + -6w = (12 + 4w) Solving 10 + -6w = 12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 10 + -6w + -4w = 12 + 4w + -4w Combine like terms: -6w + -4w = -10w 10 + -10w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + -10w = 12 + 0 10 + -10w = 12 Add '-10' to each side of the equation. 10 + -10 + -10w = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -10w = 12 + -10 -10w = 12 + -10 Combine like terms: 12 + -10 = 2 -10w = 2 Divide each side by '-10'. w = -0.2 Simplifying w = -0.2
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