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Simplifying -5w + -10 = -7w + (-2) Reorder the terms: -10 + -5w = -7w + (-2) -10 + -5w = -7w + -2 Reorder the terms: -10 + -5w = -2 + -7w Solving -10 + -5w = -2 + -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 = -2 + -7w + 7w Combine like terms: -5w + 7w = 2w -10 + 2w = -2 + -7w + 7w Combine like terms: -7w + 7w = 0 -10 + 2w = -2 + 0 -10 + 2w = -2 Add '10' to each side of the equation. -10 + 10 + 2w = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = -2 + 10 2w = -2 + 10 Combine like terms: -2 + 10 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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