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Simplifying 5(1 + 6b) + -8(8b + -5) = -23 (1 * 5 + 6b * 5) + -8(8b + -5) = -23 (5 + 30b) + -8(8b + -5) = -23 Reorder the terms: 5 + 30b + -8(-5 + 8b) = -23 5 + 30b + (-5 * -8 + 8b * -8) = -23 5 + 30b + (40 + -64b) = -23 Reorder the terms: 5 + 40 + 30b + -64b = -23 Combine like terms: 5 + 40 = 45 45 + 30b + -64b = -23 Combine like terms: 30b + -64b = -34b 45 + -34b = -23 Solving 45 + -34b = -23 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -34b = -23 + -45 Combine like terms: 45 + -45 = 0 0 + -34b = -23 + -45 -34b = -23 + -45 Combine like terms: -23 + -45 = -68 -34b = -68 Divide each side by '-34'. b = 2 Simplifying b = 2
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