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Simplifying 5(w + 2) + -3w = 18w Reorder the terms: 5(2 + w) + -3w = 18w (2 * 5 + w * 5) + -3w = 18w (10 + 5w) + -3w = 18w Combine like terms: 5w + -3w = 2w 10 + 2w = 18w Solving 10 + 2w = 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 10 + 2w + -18w = 18w + -18w Combine like terms: 2w + -18w = -16w 10 + -16w = 18w + -18w Combine like terms: 18w + -18w = 0 10 + -16w = 0 Add '-10' to each side of the equation. 10 + -10 + -16w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -16w = 0 + -10 -16w = 0 + -10 Combine like terms: 0 + -10 = -10 -16w = -10 Divide each side by '-16'. w = 0.625 Simplifying w = 0.625
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