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Simplifying 7(w + -9) = 2w + -28 Reorder the terms: 7(-9 + w) = 2w + -28 (-9 * 7 + w * 7) = 2w + -28 (-63 + 7w) = 2w + -28 Reorder the terms: -63 + 7w = -28 + 2w Solving -63 + 7w = -28 + 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. -63 + 7w + -2w = -28 + 2w + -2w Combine like terms: 7w + -2w = 5w -63 + 5w = -28 + 2w + -2w Combine like terms: 2w + -2w = 0 -63 + 5w = -28 + 0 -63 + 5w = -28 Add '63' to each side of the equation. -63 + 63 + 5w = -28 + 63 Combine like terms: -63 + 63 = 0 0 + 5w = -28 + 63 5w = -28 + 63 Combine like terms: -28 + 63 = 35 5w = 35 Divide each side by '5'. w = 7 Simplifying w = 7
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