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Simplifying 5w + -46 = -7(w + -2) Reorder the terms: -46 + 5w = -7(w + -2) Reorder the terms: -46 + 5w = -7(-2 + w) -46 + 5w = (-2 * -7 + w * -7) -46 + 5w = (14 + -7w) Solving -46 + 5w = 14 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -46 + 5w + 7w = 14 + -7w + 7w Combine like terms: 5w + 7w = 12w -46 + 12w = 14 + -7w + 7w Combine like terms: -7w + 7w = 0 -46 + 12w = 14 + 0 -46 + 12w = 14 Add '46' to each side of the equation. -46 + 46 + 12w = 14 + 46 Combine like terms: -46 + 46 = 0 0 + 12w = 14 + 46 12w = 14 + 46 Combine like terms: 14 + 46 = 60 12w = 60 Divide each side by '12'. w = 5 Simplifying w = 5
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