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Simplifying 5(w + -2) = 7w + -6 Reorder the terms: 5(-2 + w) = 7w + -6 (-2 * 5 + w * 5) = 7w + -6 (-10 + 5w) = 7w + -6 Reorder the terms: -10 + 5w = -6 + 7w Solving -10 + 5w = -6 + 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. -10 + 5w + -7w = -6 + 7w + -7w Combine like terms: 5w + -7w = -2w -10 + -2w = -6 + 7w + -7w Combine like terms: 7w + -7w = 0 -10 + -2w = -6 + 0 -10 + -2w = -6 Add '10' to each side of the equation. -10 + 10 + -2w = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = -6 + 10 -2w = -6 + 10 Combine like terms: -6 + 10 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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