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Simplifying 5(w + -2) = 7w + 2 + -4(-3w + -1) Reorder the terms: 5(-2 + w) = 7w + 2 + -4(-3w + -1) (-2 * 5 + w * 5) = 7w + 2 + -4(-3w + -1) (-10 + 5w) = 7w + 2 + -4(-3w + -1) Reorder the terms: -10 + 5w = 7w + 2 + -4(-1 + -3w) -10 + 5w = 7w + 2 + (-1 * -4 + -3w * -4) -10 + 5w = 7w + 2 + (4 + 12w) Reorder the terms: -10 + 5w = 2 + 4 + 7w + 12w Combine like terms: 2 + 4 = 6 -10 + 5w = 6 + 7w + 12w Combine like terms: 7w + 12w = 19w -10 + 5w = 6 + 19w Solving -10 + 5w = 6 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -10 + 5w + -19w = 6 + 19w + -19w Combine like terms: 5w + -19w = -14w -10 + -14w = 6 + 19w + -19w Combine like terms: 19w + -19w = 0 -10 + -14w = 6 + 0 -10 + -14w = 6 Add '10' to each side of the equation. -10 + 10 + -14w = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -14w = 6 + 10 -14w = 6 + 10 Combine like terms: 6 + 10 = 16 -14w = 16 Divide each side by '-14'. w = -1.142857143 Simplifying w = -1.142857143
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