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Simplifying 7w + -2(w + 4) = 2(7w + -228p) Reorder the terms: 7w + -2(4 + w) = 2(7w + -228p) 7w + (4 * -2 + w * -2) = 2(7w + -228p) 7w + (-8 + -2w) = 2(7w + -228p) Reorder the terms: -8 + 7w + -2w = 2(7w + -228p) Combine like terms: 7w + -2w = 5w -8 + 5w = 2(7w + -228p) Reorder the terms: -8 + 5w = 2(-228p + 7w) -8 + 5w = (-228p * 2 + 7w * 2) -8 + 5w = (-456p + 14w) Solving -8 + 5w = -456p + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -8 + 5w + -14w = -456p + 14w + -14w Combine like terms: 5w + -14w = -9w -8 + -9w = -456p + 14w + -14w Combine like terms: 14w + -14w = 0 -8 + -9w = -456p + 0 -8 + -9w = -456p Add '8' to each side of the equation. -8 + 8 + -9w = 8 + -456p Combine like terms: -8 + 8 = 0 0 + -9w = 8 + -456p -9w = 8 + -456p Divide each side by '-9'. w = -0.8888888889 + 50.66666667p Simplifying w = -0.8888888889 + 50.66666667p
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