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Simplifying 7w + -5 = 11w + -5 * 4w Reorder the terms: -5 + 7w = 11w + -5 * 4w Multiply -5 * 4 -5 + 7w = 11w + -20w Combine like terms: 11w + -20w = -9w -5 + 7w = -9w Solving -5 + 7w = -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -5 + 7w + 9w = -9w + 9w Combine like terms: 7w + 9w = 16w -5 + 16w = -9w + 9w Combine like terms: -9w + 9w = 0 -5 + 16w = 0 Add '5' to each side of the equation. -5 + 5 + 16w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 16w = 0 + 5 16w = 0 + 5 Combine like terms: 0 + 5 = 5 16w = 5 Divide each side by '16'. w = 0.3125 Simplifying w = 0.3125
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