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Simplifying 7w + -5 = -3(w + 5) Reorder the terms: -5 + 7w = -3(w + 5) Reorder the terms: -5 + 7w = -3(5 + w) -5 + 7w = (5 * -3 + w * -3) -5 + 7w = (-15 + -3w) Solving -5 + 7w = -15 + -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. -5 + 7w + 3w = -15 + -3w + 3w Combine like terms: 7w + 3w = 10w -5 + 10w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 -5 + 10w = -15 + 0 -5 + 10w = -15 Add '5' to each side of the equation. -5 + 5 + 10w = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 10w = -15 + 5 10w = -15 + 5 Combine like terms: -15 + 5 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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