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Simplifying 2(4w + -1) = -10(w + -5) + 4 Reorder the terms: 2(-1 + 4w) = -10(w + -5) + 4 (-1 * 2 + 4w * 2) = -10(w + -5) + 4 (-2 + 8w) = -10(w + -5) + 4 Reorder the terms: -2 + 8w = -10(-5 + w) + 4 -2 + 8w = (-5 * -10 + w * -10) + 4 -2 + 8w = (50 + -10w) + 4 Reorder the terms: -2 + 8w = 50 + 4 + -10w Combine like terms: 50 + 4 = 54 -2 + 8w = 54 + -10w Solving -2 + 8w = 54 + -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. -2 + 8w + 10w = 54 + -10w + 10w Combine like terms: 8w + 10w = 18w -2 + 18w = 54 + -10w + 10w Combine like terms: -10w + 10w = 0 -2 + 18w = 54 + 0 -2 + 18w = 54 Add '2' to each side of the equation. -2 + 2 + 18w = 54 + 2 Combine like terms: -2 + 2 = 0 0 + 18w = 54 + 2 18w = 54 + 2 Combine like terms: 54 + 2 = 56 18w = 56 Divide each side by '18'. w = 3.111111111 Simplifying w = 3.111111111
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