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Simplifying 34 + -2(2w + 1) = 5w + -2 Reorder the terms: 34 + -2(1 + 2w) = 5w + -2 34 + (1 * -2 + 2w * -2) = 5w + -2 34 + (-2 + -4w) = 5w + -2 Combine like terms: 34 + -2 = 32 32 + -4w = 5w + -2 Reorder the terms: 32 + -4w = -2 + 5w Solving 32 + -4w = -2 + 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. 32 + -4w + -5w = -2 + 5w + -5w Combine like terms: -4w + -5w = -9w 32 + -9w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 32 + -9w = -2 + 0 32 + -9w = -2 Add '-32' to each side of the equation. 32 + -32 + -9w = -2 + -32 Combine like terms: 32 + -32 = 0 0 + -9w = -2 + -32 -9w = -2 + -32 Combine like terms: -2 + -32 = -34 -9w = -34 Divide each side by '-9'. w = 3.777777778 Simplifying w = 3.777777778
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