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Simplifying 3(w + -7) + -1(4 + -1w) = 11w Reorder the terms: 3(-7 + w) + -1(4 + -1w) = 11w (-7 * 3 + w * 3) + -1(4 + -1w) = 11w (-21 + 3w) + -1(4 + -1w) = 11w -21 + 3w + (4 * -1 + -1w * -1) = 11w -21 + 3w + (-4 + 1w) = 11w Reorder the terms: -21 + -4 + 3w + 1w = 11w Combine like terms: -21 + -4 = -25 -25 + 3w + 1w = 11w Combine like terms: 3w + 1w = 4w -25 + 4w = 11w Solving -25 + 4w = 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -25 + 4w + -11w = 11w + -11w Combine like terms: 4w + -11w = -7w -25 + -7w = 11w + -11w Combine like terms: 11w + -11w = 0 -25 + -7w = 0 Add '25' to each side of the equation. -25 + 25 + -7w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -7w = 0 + 25 -7w = 0 + 25 Combine like terms: 0 + 25 = 25 -7w = 25 Divide each side by '-7'. w = -3.571428571 Simplifying w = -3.571428571
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