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Simplifying 5b + 34 = -2(1 + -7n) Reorder the terms: 34 + 5b = -2(1 + -7n) 34 + 5b = (1 * -2 + -7n * -2) 34 + 5b = (-2 + 14n) Solving 34 + 5b = -2 + 14n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5b = -2 + -34 + 14n Combine like terms: 34 + -34 = 0 0 + 5b = -2 + -34 + 14n 5b = -2 + -34 + 14n Combine like terms: -2 + -34 = -36 5b = -36 + 14n Divide each side by '5'. b = -7.2 + 2.8n Simplifying b = -7.2 + 2.8n
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