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Simplifying 20 + -4(-4w + -16) = 10w Reorder the terms: 20 + -4(-16 + -4w) = 10w 20 + (-16 * -4 + -4w * -4) = 10w 20 + (64 + 16w) = 10w Combine like terms: 20 + 64 = 84 84 + 16w = 10w Solving 84 + 16w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 84 + 16w + -10w = 10w + -10w Combine like terms: 16w + -10w = 6w 84 + 6w = 10w + -10w Combine like terms: 10w + -10w = 0 84 + 6w = 0 Add '-84' to each side of the equation. 84 + -84 + 6w = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 6w = 0 + -84 6w = 0 + -84 Combine like terms: 0 + -84 = -84 6w = -84 Divide each side by '6'. w = -14 Simplifying w = -14
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