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Simplifying 9w + -31 = 6w + -18 Reorder the terms: -31 + 9w = 6w + -18 Reorder the terms: -31 + 9w = -18 + 6w Solving -31 + 9w = -18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -31 + 9w + -6w = -18 + 6w + -6w Combine like terms: 9w + -6w = 3w -31 + 3w = -18 + 6w + -6w Combine like terms: 6w + -6w = 0 -31 + 3w = -18 + 0 -31 + 3w = -18 Add '31' to each side of the equation. -31 + 31 + 3w = -18 + 31 Combine like terms: -31 + 31 = 0 0 + 3w = -18 + 31 3w = -18 + 31 Combine like terms: -18 + 31 = 13 3w = 13 Divide each side by '3'. w = 4.333333333 Simplifying w = 4.333333333
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