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Simplifying 5w + 34 = -2(1 + -7w) Reorder the terms: 34 + 5w = -2(1 + -7w) 34 + 5w = (1 * -2 + -7w * -2) 34 + 5w = (-2 + 14w) Solving 34 + 5w = -2 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 34 + 5w + -14w = -2 + 14w + -14w Combine like terms: 5w + -14w = -9w 34 + -9w = -2 + 14w + -14w Combine like terms: 14w + -14w = 0 34 + -9w = -2 + 0 34 + -9w = -2 Add '-34' to each side of the equation. 34 + -34 + -9w = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9w = -2 + -34 -9w = -2 + -34 Combine like terms: -2 + -34 = -36 -9w = -36 Divide each side by '-9'. w = 4 Simplifying w = 4
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