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Simplifying 2w + 18 = 5w + -3 Reorder the terms: 18 + 2w = 5w + -3 Reorder the terms: 18 + 2w = -3 + 5w Solving 18 + 2w = -3 + 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. 18 + 2w + -5w = -3 + 5w + -5w Combine like terms: 2w + -5w = -3w 18 + -3w = -3 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + -3w = -3 + 0 18 + -3w = -3 Add '-18' to each side of the equation. 18 + -18 + -3w = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -3w = -3 + -18 -3w = -3 + -18 Combine like terms: -3 + -18 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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