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Simplifying -2(3w + -5) + 2w = 2(w + 6) Reorder the terms: -2(-5 + 3w) + 2w = 2(w + 6) (-5 * -2 + 3w * -2) + 2w = 2(w + 6) (10 + -6w) + 2w = 2(w + 6) Combine like terms: -6w + 2w = -4w 10 + -4w = 2(w + 6) Reorder the terms: 10 + -4w = 2(6 + w) 10 + -4w = (6 * 2 + w * 2) 10 + -4w = (12 + 2w) Solving 10 + -4w = 12 + 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 + -4w + -2w = 12 + 2w + -2w Combine like terms: -4w + -2w = -6w 10 + -6w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + -6w = 12 + 0 10 + -6w = 12 Add '-10' to each side of the equation. 10 + -10 + -6w = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -6w = 12 + -10 -6w = 12 + -10 Combine like terms: 12 + -10 = 2 -6w = 2 Divide each side by '-6'. w = -0.3333333333 Simplifying w = -0.3333333333
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