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Simplifying 7(w + -3) + -5 = -2(-2w + 9) + -9w Reorder the terms: 7(-3 + w) + -5 = -2(-2w + 9) + -9w (-3 * 7 + w * 7) + -5 = -2(-2w + 9) + -9w (-21 + 7w) + -5 = -2(-2w + 9) + -9w Reorder the terms: -21 + -5 + 7w = -2(-2w + 9) + -9w Combine like terms: -21 + -5 = -26 -26 + 7w = -2(-2w + 9) + -9w Reorder the terms: -26 + 7w = -2(9 + -2w) + -9w -26 + 7w = (9 * -2 + -2w * -2) + -9w -26 + 7w = (-18 + 4w) + -9w Combine like terms: 4w + -9w = -5w -26 + 7w = -18 + -5w Solving -26 + 7w = -18 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -26 + 7w + 5w = -18 + -5w + 5w Combine like terms: 7w + 5w = 12w -26 + 12w = -18 + -5w + 5w Combine like terms: -5w + 5w = 0 -26 + 12w = -18 + 0 -26 + 12w = -18 Add '26' to each side of the equation. -26 + 26 + 12w = -18 + 26 Combine like terms: -26 + 26 = 0 0 + 12w = -18 + 26 12w = -18 + 26 Combine like terms: -18 + 26 = 8 12w = 8 Divide each side by '12'. w = 0.6666666667 Simplifying w = 0.6666666667
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