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Simplifying -2 = -5w + 2(w + -7) Reorder the terms: -2 = -5w + 2(-7 + w) -2 = -5w + (-7 * 2 + w * 2) -2 = -5w + (-14 + 2w) Reorder the terms: -2 = -14 + -5w + 2w Combine like terms: -5w + 2w = -3w -2 = -14 + -3w Solving -2 = -14 + -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. -2 + 3w = -14 + -3w + 3w Combine like terms: -3w + 3w = 0 -2 + 3w = -14 + 0 -2 + 3w = -14 Add '2' to each side of the equation. -2 + 2 + 3w = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = -14 + 2 3w = -14 + 2 Combine like terms: -14 + 2 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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