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Simplifying 16w + -3w + 36 = 4w + -18 Reorder the terms: 36 + 16w + -3w = 4w + -18 Combine like terms: 16w + -3w = 13w 36 + 13w = 4w + -18 Reorder the terms: 36 + 13w = -18 + 4w Solving 36 + 13w = -18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 36 + 13w + -4w = -18 + 4w + -4w Combine like terms: 13w + -4w = 9w 36 + 9w = -18 + 4w + -4w Combine like terms: 4w + -4w = 0 36 + 9w = -18 + 0 36 + 9w = -18 Add '-36' to each side of the equation. 36 + -36 + 9w = -18 + -36 Combine like terms: 36 + -36 = 0 0 + 9w = -18 + -36 9w = -18 + -36 Combine like terms: -18 + -36 = -54 9w = -54 Divide each side by '9'. w = -6 Simplifying w = -6
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