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Simplifying 5(w + -3) + 7 = -2(w + -5) Reorder the terms: 5(-3 + w) + 7 = -2(w + -5) (-3 * 5 + w * 5) + 7 = -2(w + -5) (-15 + 5w) + 7 = -2(w + -5) Reorder the terms: -15 + 7 + 5w = -2(w + -5) Combine like terms: -15 + 7 = -8 -8 + 5w = -2(w + -5) Reorder the terms: -8 + 5w = -2(-5 + w) -8 + 5w = (-5 * -2 + w * -2) -8 + 5w = (10 + -2w) Solving -8 + 5w = 10 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -8 + 5w + 2w = 10 + -2w + 2w Combine like terms: 5w + 2w = 7w -8 + 7w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 7w = 10 + 0 -8 + 7w = 10 Add '8' to each side of the equation. -8 + 8 + 7w = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 7w = 10 + 8 7w = 10 + 8 Combine like terms: 10 + 8 = 18 7w = 18 Divide each side by '7'. w = 2.571428571 Simplifying w = 2.571428571
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