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Simplifying 5(-8b + 1) + 7b = -226 Reorder the terms: 5(1 + -8b) + 7b = -226 (1 * 5 + -8b * 5) + 7b = -226 (5 + -40b) + 7b = -226 Combine like terms: -40b + 7b = -33b 5 + -33b = -226 Solving 5 + -33b = -226 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -33b = -226 + -5 Combine like terms: 5 + -5 = 0 0 + -33b = -226 + -5 -33b = -226 + -5 Combine like terms: -226 + -5 = -231 -33b = -231 Divide each side by '-33'. b = 7 Simplifying b = 7
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