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Simplifying 2(5w + -1) = 3w + -4 Reorder the terms: 2(-1 + 5w) = 3w + -4 (-1 * 2 + 5w * 2) = 3w + -4 (-2 + 10w) = 3w + -4 Reorder the terms: -2 + 10w = -4 + 3w Solving -2 + 10w = -4 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -2 + 10w + -3w = -4 + 3w + -3w Combine like terms: 10w + -3w = 7w -2 + 7w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 7w = -4 + 0 -2 + 7w = -4 Add '2' to each side of the equation. -2 + 2 + 7w = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 7w = -4 + 2 7w = -4 + 2 Combine like terms: -4 + 2 = -2 7w = -2 Divide each side by '7'. w = -0.2857142857 Simplifying w = -0.2857142857
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