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Simplifying 2(w + -7) = -3w + -9 Reorder the terms: 2(-7 + w) = -3w + -9 (-7 * 2 + w * 2) = -3w + -9 (-14 + 2w) = -3w + -9 Reorder the terms: -14 + 2w = -9 + -3w Solving -14 + 2w = -9 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -14 + 2w + 3w = -9 + -3w + 3w Combine like terms: 2w + 3w = 5w -14 + 5w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 -14 + 5w = -9 + 0 -14 + 5w = -9 Add '14' to each side of the equation. -14 + 14 + 5w = -9 + 14 Combine like terms: -14 + 14 = 0 0 + 5w = -9 + 14 5w = -9 + 14 Combine like terms: -9 + 14 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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