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Simplifying 7w + 5 + -2(-3w + -3) = 4(w + -1) Reorder the terms: 7w + 5 + -2(-3 + -3w) = 4(w + -1) 7w + 5 + (-3 * -2 + -3w * -2) = 4(w + -1) 7w + 5 + (6 + 6w) = 4(w + -1) Reorder the terms: 5 + 6 + 7w + 6w = 4(w + -1) Combine like terms: 5 + 6 = 11 11 + 7w + 6w = 4(w + -1) Combine like terms: 7w + 6w = 13w 11 + 13w = 4(w + -1) Reorder the terms: 11 + 13w = 4(-1 + w) 11 + 13w = (-1 * 4 + w * 4) 11 + 13w = (-4 + 4w) Solving 11 + 13w = -4 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 11 + 13w + -4w = -4 + 4w + -4w Combine like terms: 13w + -4w = 9w 11 + 9w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 11 + 9w = -4 + 0 11 + 9w = -4 Add '-11' to each side of the equation. 11 + -11 + 9w = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 9w = -4 + -11 9w = -4 + -11 Combine like terms: -4 + -11 = -15 9w = -15 Divide each side by '9'. w = -1.666666667 Simplifying w = -1.666666667
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