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Simplifying 232 = 8(1 + 7b) 232 = (1 * 8 + 7b * 8) 232 = (8 + 56b) Solving 232 = 8 + 56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-56b' to each side of the equation. 232 + -56b = 8 + 56b + -56b Combine like terms: 56b + -56b = 0 232 + -56b = 8 + 0 232 + -56b = 8 Add '-232' to each side of the equation. 232 + -232 + -56b = 8 + -232 Combine like terms: 232 + -232 = 0 0 + -56b = 8 + -232 -56b = 8 + -232 Combine like terms: 8 + -232 = -224 -56b = -224 Divide each side by '-56'. b = 4 Simplifying b = 4
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