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Simplifying 12w + 18 = 13w + -4 Reorder the terms: 18 + 12w = 13w + -4 Reorder the terms: 18 + 12w = -4 + 13w Solving 18 + 12w = -4 + 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. 18 + 12w + -13w = -4 + 13w + -13w Combine like terms: 12w + -13w = -1w 18 + -1w = -4 + 13w + -13w Combine like terms: 13w + -13w = 0 18 + -1w = -4 + 0 18 + -1w = -4 Add '-18' to each side of the equation. 18 + -18 + -1w = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = -4 + -18 -1w = -4 + -18 Combine like terms: -4 + -18 = -22 -1w = -22 Divide each side by '-1'. w = 22 Simplifying w = 22
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