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Simplifying 9 + 2(4w + -7) = -2(7w + -2) + 7w Reorder the terms: 9 + 2(-7 + 4w) = -2(7w + -2) + 7w 9 + (-7 * 2 + 4w * 2) = -2(7w + -2) + 7w 9 + (-14 + 8w) = -2(7w + -2) + 7w Combine like terms: 9 + -14 = -5 -5 + 8w = -2(7w + -2) + 7w Reorder the terms: -5 + 8w = -2(-2 + 7w) + 7w -5 + 8w = (-2 * -2 + 7w * -2) + 7w -5 + 8w = (4 + -14w) + 7w Combine like terms: -14w + 7w = -7w -5 + 8w = 4 + -7w Solving -5 + 8w = 4 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -5 + 8w + 7w = 4 + -7w + 7w Combine like terms: 8w + 7w = 15w -5 + 15w = 4 + -7w + 7w Combine like terms: -7w + 7w = 0 -5 + 15w = 4 + 0 -5 + 15w = 4 Add '5' to each side of the equation. -5 + 5 + 15w = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 15w = 4 + 5 15w = 4 + 5 Combine like terms: 4 + 5 = 9 15w = 9 Divide each side by '15'. w = 0.6 Simplifying w = 0.6
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