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Simplifying 2w + -5 + -18w = (0.5)(22w + 10) Reorder the terms: -5 + 2w + -18w = (0.5)(22w + 10) Combine like terms: 2w + -18w = -16w -5 + -16w = (0.5)(22w + 10) Reorder the terms: -5 + -16w = 0.5(10 + 22w) -5 + -16w = (10 * 0.5 + 22w * 0.5) -5 + -16w = (5 + 11w) Solving -5 + -16w = 5 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -5 + -16w + -11w = 5 + 11w + -11w Combine like terms: -16w + -11w = -27w -5 + -27w = 5 + 11w + -11w Combine like terms: 11w + -11w = 0 -5 + -27w = 5 + 0 -5 + -27w = 5 Add '5' to each side of the equation. -5 + 5 + -27w = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -27w = 5 + 5 -27w = 5 + 5 Combine like terms: 5 + 5 = 10 -27w = 10 Divide each side by '-27'. w = -0.3703703704 Simplifying w = -0.3703703704
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