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Simplifying -6b + 8(4b + 5) = -8b + 6 Reorder the terms: -6b + 8(5 + 4b) = -8b + 6 -6b + (5 * 8 + 4b * 8) = -8b + 6 -6b + (40 + 32b) = -8b + 6 Reorder the terms: 40 + -6b + 32b = -8b + 6 Combine like terms: -6b + 32b = 26b 40 + 26b = -8b + 6 Reorder the terms: 40 + 26b = 6 + -8b Solving 40 + 26b = 6 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 40 + 26b + 8b = 6 + -8b + 8b Combine like terms: 26b + 8b = 34b 40 + 34b = 6 + -8b + 8b Combine like terms: -8b + 8b = 0 40 + 34b = 6 + 0 40 + 34b = 6 Add '-40' to each side of the equation. 40 + -40 + 34b = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 34b = 6 + -40 34b = 6 + -40 Combine like terms: 6 + -40 = -34 34b = -34 Divide each side by '34'. b = -1 Simplifying b = -1
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