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Simplifying 5(w + -3) + -3 = -7(-3w + 2) + -2w Reorder the terms: 5(-3 + w) + -3 = -7(-3w + 2) + -2w (-3 * 5 + w * 5) + -3 = -7(-3w + 2) + -2w (-15 + 5w) + -3 = -7(-3w + 2) + -2w Reorder the terms: -15 + -3 + 5w = -7(-3w + 2) + -2w Combine like terms: -15 + -3 = -18 -18 + 5w = -7(-3w + 2) + -2w Reorder the terms: -18 + 5w = -7(2 + -3w) + -2w -18 + 5w = (2 * -7 + -3w * -7) + -2w -18 + 5w = (-14 + 21w) + -2w Combine like terms: 21w + -2w = 19w -18 + 5w = -14 + 19w Solving -18 + 5w = -14 + 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. -18 + 5w + -19w = -14 + 19w + -19w Combine like terms: 5w + -19w = -14w -18 + -14w = -14 + 19w + -19w Combine like terms: 19w + -19w = 0 -18 + -14w = -14 + 0 -18 + -14w = -14 Add '18' to each side of the equation. -18 + 18 + -14w = -14 + 18 Combine like terms: -18 + 18 = 0 0 + -14w = -14 + 18 -14w = -14 + 18 Combine like terms: -14 + 18 = 4 -14w = 4 Divide each side by '-14'. w = -0.2857142857 Simplifying w = -0.2857142857
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