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Simplifying 5(1 + -6b) + 2 = 247 (1 * 5 + -6b * 5) + 2 = 247 (5 + -30b) + 2 = 247 Reorder the terms: 5 + 2 + -30b = 247 Combine like terms: 5 + 2 = 7 7 + -30b = 247 Solving 7 + -30b = 247 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -30b = 247 + -7 Combine like terms: 7 + -7 = 0 0 + -30b = 247 + -7 -30b = 247 + -7 Combine like terms: 247 + -7 = 240 -30b = 240 Divide each side by '-30'. b = -8 Simplifying b = -8
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