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Simplifying 7 + 15w = 2 + -4(5w + -3) Reorder the terms: 7 + 15w = 2 + -4(-3 + 5w) 7 + 15w = 2 + (-3 * -4 + 5w * -4) 7 + 15w = 2 + (12 + -20w) Combine like terms: 2 + 12 = 14 7 + 15w = 14 + -20w Solving 7 + 15w = 14 + -20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20w' to each side of the equation. 7 + 15w + 20w = 14 + -20w + 20w Combine like terms: 15w + 20w = 35w 7 + 35w = 14 + -20w + 20w Combine like terms: -20w + 20w = 0 7 + 35w = 14 + 0 7 + 35w = 14 Add '-7' to each side of the equation. 7 + -7 + 35w = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 35w = 14 + -7 35w = 14 + -7 Combine like terms: 14 + -7 = 7 35w = 7 Divide each side by '35'. w = 0.2 Simplifying w = 0.2
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