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Simplifying 2(4w + -1) = -10(w + -3 + 4) Reorder the terms: 2(-1 + 4w) = -10(w + -3 + 4) (-1 * 2 + 4w * 2) = -10(w + -3 + 4) (-2 + 8w) = -10(w + -3 + 4) Reorder the terms: -2 + 8w = -10(-3 + 4 + w) Combine like terms: -3 + 4 = 1 -2 + 8w = -10(1 + w) -2 + 8w = (1 * -10 + w * -10) -2 + 8w = (-10 + -10w) Solving -2 + 8w = -10 + -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 = -10 + -10w + 10w Combine like terms: 8w + 10w = 18w -2 + 18w = -10 + -10w + 10w Combine like terms: -10w + 10w = 0 -2 + 18w = -10 + 0 -2 + 18w = -10 Add '2' to each side of the equation. -2 + 2 + 18w = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 18w = -10 + 2 18w = -10 + 2 Combine like terms: -10 + 2 = -8 18w = -8 Divide each side by '18'. w = -0.4444444444 Simplifying w = -0.4444444444
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