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Simplifying 10 = 5w + 21(1 + -1w) 10 = 5w + (1 * 21 + -1w * 21) 10 = 5w + (21 + -21w) Reorder the terms: 10 = 21 + 5w + -21w Combine like terms: 5w + -21w = -16w 10 = 21 + -16w Solving 10 = 21 + -16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16w' to each side of the equation. 10 + 16w = 21 + -16w + 16w Combine like terms: -16w + 16w = 0 10 + 16w = 21 + 0 10 + 16w = 21 Add '-10' to each side of the equation. 10 + -10 + 16w = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 16w = 21 + -10 16w = 21 + -10 Combine like terms: 21 + -10 = 11 16w = 11 Divide each side by '16'. w = 0.6875 Simplifying w = 0.6875
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