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Simplifying -8b + -6(-3b + 5) + 7 + 4(9 + 6b) = -5 Reorder the terms: -8b + -6(5 + -3b) + 7 + 4(9 + 6b) = -5 -8b + (5 * -6 + -3b * -6) + 7 + 4(9 + 6b) = -5 -8b + (-30 + 18b) + 7 + 4(9 + 6b) = -5 -8b + -30 + 18b + 7 + (9 * 4 + 6b * 4) = -5 -8b + -30 + 18b + 7 + (36 + 24b) = -5 Reorder the terms: -30 + 7 + 36 + -8b + 18b + 24b = -5 Combine like terms: -30 + 7 = -23 -23 + 36 + -8b + 18b + 24b = -5 Combine like terms: -23 + 36 = 13 13 + -8b + 18b + 24b = -5 Combine like terms: -8b + 18b = 10b 13 + 10b + 24b = -5 Combine like terms: 10b + 24b = 34b 13 + 34b = -5 Solving 13 + 34b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 34b = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 34b = -5 + -13 34b = -5 + -13 Combine like terms: -5 + -13 = -18 34b = -18 Divide each side by '34'. b = -0.5294117647 Simplifying b = -0.5294117647
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