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Simplifying -3(5w + -4) + w = -2(w + 2) Reorder the terms: -3(-4 + 5w) + w = -2(w + 2) (-4 * -3 + 5w * -3) + w = -2(w + 2) (12 + -15w) + w = -2(w + 2) Combine like terms: -15w + w = -14w 12 + -14w = -2(w + 2) Reorder the terms: 12 + -14w = -2(2 + w) 12 + -14w = (2 * -2 + w * -2) 12 + -14w = (-4 + -2w) Solving 12 + -14w = -4 + -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. 12 + -14w + 2w = -4 + -2w + 2w Combine like terms: -14w + 2w = -12w 12 + -12w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + -12w = -4 + 0 12 + -12w = -4 Add '-12' to each side of the equation. 12 + -12 + -12w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -12w = -4 + -12 -12w = -4 + -12 Combine like terms: -4 + -12 = -16 -12w = -16 Divide each side by '-12'. w = 1.333333333 Simplifying w = 1.333333333
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