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Simplifying 13w + -18 = 7w + 12 Reorder the terms: -18 + 13w = 7w + 12 Reorder the terms: -18 + 13w = 12 + 7w Solving -18 + 13w = 12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -18 + 13w + -7w = 12 + 7w + -7w Combine like terms: 13w + -7w = 6w -18 + 6w = 12 + 7w + -7w Combine like terms: 7w + -7w = 0 -18 + 6w = 12 + 0 -18 + 6w = 12 Add '18' to each side of the equation. -18 + 18 + 6w = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6w = 12 + 18 6w = 12 + 18 Combine like terms: 12 + 18 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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