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Simplifying -5w + -10 = -7(w + 2) Reorder the terms: -10 + -5w = -7(w + 2) Reorder the terms: -10 + -5w = -7(2 + w) -10 + -5w = (2 * -7 + w * -7) -10 + -5w = (-14 + -7w) Solving -10 + -5w = -14 + -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 = -14 + -7w + 7w Combine like terms: -5w + 7w = 2w -10 + 2w = -14 + -7w + 7w Combine like terms: -7w + 7w = 0 -10 + 2w = -14 + 0 -10 + 2w = -14 Add '10' to each side of the equation. -10 + 10 + 2w = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = -14 + 10 2w = -14 + 10 Combine like terms: -14 + 10 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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