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Simplifying -13 + 9w + 5 = 5w + -72 + -2w Reorder the terms: -13 + 5 + 9w = 5w + -72 + -2w Combine like terms: -13 + 5 = -8 -8 + 9w = 5w + -72 + -2w Reorder the terms: -8 + 9w = -72 + 5w + -2w Combine like terms: 5w + -2w = 3w -8 + 9w = -72 + 3w Solving -8 + 9w = -72 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -8 + 9w + -3w = -72 + 3w + -3w Combine like terms: 9w + -3w = 6w -8 + 6w = -72 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 6w = -72 + 0 -8 + 6w = -72 Add '8' to each side of the equation. -8 + 8 + 6w = -72 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = -72 + 8 6w = -72 + 8 Combine like terms: -72 + 8 = -64 6w = -64 Divide each side by '6'. w = -10.66666667 Simplifying w = -10.66666667
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