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Simplifying 2(w + 5) = -4(4w + -6) + 8w Reorder the terms: 2(5 + w) = -4(4w + -6) + 8w (5 * 2 + w * 2) = -4(4w + -6) + 8w (10 + 2w) = -4(4w + -6) + 8w Reorder the terms: 10 + 2w = -4(-6 + 4w) + 8w 10 + 2w = (-6 * -4 + 4w * -4) + 8w 10 + 2w = (24 + -16w) + 8w Combine like terms: -16w + 8w = -8w 10 + 2w = 24 + -8w Solving 10 + 2w = 24 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 10 + 2w + 8w = 24 + -8w + 8w Combine like terms: 2w + 8w = 10w 10 + 10w = 24 + -8w + 8w Combine like terms: -8w + 8w = 0 10 + 10w = 24 + 0 10 + 10w = 24 Add '-10' to each side of the equation. 10 + -10 + 10w = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 10w = 24 + -10 10w = 24 + -10 Combine like terms: 24 + -10 = 14 10w = 14 Divide each side by '10'. w = 1.4 Simplifying w = 1.4
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