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Simplifying 5w + 6 = 8w + 5w + -18 Reorder the terms: 6 + 5w = 8w + 5w + -18 Reorder the terms: 6 + 5w = -18 + 8w + 5w Combine like terms: 8w + 5w = 13w 6 + 5w = -18 + 13w Solving 6 + 5w = -18 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 6 + 5w + -13w = -18 + 13w + -13w Combine like terms: 5w + -13w = -8w 6 + -8w = -18 + 13w + -13w Combine like terms: 13w + -13w = 0 6 + -8w = -18 + 0 6 + -8w = -18 Add '-6' to each side of the equation. 6 + -6 + -8w = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -8w = -18 + -6 -8w = -18 + -6 Combine like terms: -18 + -6 = -24 -8w = -24 Divide each side by '-8'. w = 3 Simplifying w = 3
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