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Simplifying -7w + 28 = -2(w + -9) Reorder the terms: 28 + -7w = -2(w + -9) Reorder the terms: 28 + -7w = -2(-9 + w) 28 + -7w = (-9 * -2 + w * -2) 28 + -7w = (18 + -2w) Solving 28 + -7w = 18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 28 + -7w + 2w = 18 + -2w + 2w Combine like terms: -7w + 2w = -5w 28 + -5w = 18 + -2w + 2w Combine like terms: -2w + 2w = 0 28 + -5w = 18 + 0 28 + -5w = 18 Add '-28' to each side of the equation. 28 + -28 + -5w = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -5w = 18 + -28 -5w = 18 + -28 Combine like terms: 18 + -28 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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