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Simplifying 5(w + -2) + -7w = 8 Reorder the terms: 5(-2 + w) + -7w = 8 (-2 * 5 + w * 5) + -7w = 8 (-10 + 5w) + -7w = 8 Combine like terms: 5w + -7w = -2w -10 + -2w = 8 Solving -10 + -2w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2w = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = 8 + 10 -2w = 8 + 10 Combine like terms: 8 + 10 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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