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Simplifying 2 + -1w + 4w + 6w = 125 + -3(5w + -7) Combine like terms: -1w + 4w = 3w 2 + 3w + 6w = 125 + -3(5w + -7) Combine like terms: 3w + 6w = 9w 2 + 9w = 125 + -3(5w + -7) Reorder the terms: 2 + 9w = 125 + -3(-7 + 5w) 2 + 9w = 125 + (-7 * -3 + 5w * -3) 2 + 9w = 125 + (21 + -15w) Combine like terms: 125 + 21 = 146 2 + 9w = 146 + -15w Solving 2 + 9w = 146 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 2 + 9w + 15w = 146 + -15w + 15w Combine like terms: 9w + 15w = 24w 2 + 24w = 146 + -15w + 15w Combine like terms: -15w + 15w = 0 2 + 24w = 146 + 0 2 + 24w = 146 Add '-2' to each side of the equation. 2 + -2 + 24w = 146 + -2 Combine like terms: 2 + -2 = 0 0 + 24w = 146 + -2 24w = 146 + -2 Combine like terms: 146 + -2 = 144 24w = 144 Divide each side by '24'. w = 6 Simplifying w = 6
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