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Simplifying -34 = 2(w + -7) + 3w Reorder the terms: -34 = 2(-7 + w) + 3w -34 = (-7 * 2 + w * 2) + 3w -34 = (-14 + 2w) + 3w Combine like terms: 2w + 3w = 5w -34 = -14 + 5w Solving -34 = -14 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -34 + -5w = -14 + 5w + -5w Combine like terms: 5w + -5w = 0 -34 + -5w = -14 + 0 -34 + -5w = -14 Add '34' to each side of the equation. -34 + 34 + -5w = -14 + 34 Combine like terms: -34 + 34 = 0 0 + -5w = -14 + 34 -5w = -14 + 34 Combine like terms: -14 + 34 = 20 -5w = 20 Divide each side by '-5'. w = -4 Simplifying w = -4
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