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Simplifying -3w + -8 = -5(w + 2) Reorder the terms: -8 + -3w = -5(w + 2) Reorder the terms: -8 + -3w = -5(2 + w) -8 + -3w = (2 * -5 + w * -5) -8 + -3w = (-10 + -5w) Solving -8 + -3w = -10 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -8 + -3w + 5w = -10 + -5w + 5w Combine like terms: -3w + 5w = 2w -8 + 2w = -10 + -5w + 5w Combine like terms: -5w + 5w = 0 -8 + 2w = -10 + 0 -8 + 2w = -10 Add '8' to each side of the equation. -8 + 8 + 2w = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 2w = -10 + 8 2w = -10 + 8 Combine like terms: -10 + 8 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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