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Simplifying 8(4b + 5) + -6b = -28 + -8b Reorder the terms: 8(5 + 4b) + -6b = -28 + -8b (5 * 8 + 4b * 8) + -6b = -28 + -8b (40 + 32b) + -6b = -28 + -8b Combine like terms: 32b + -6b = 26b 40 + 26b = -28 + -8b Solving 40 + 26b = -28 + -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 = -28 + -8b + 8b Combine like terms: 26b + 8b = 34b 40 + 34b = -28 + -8b + 8b Combine like terms: -8b + 8b = 0 40 + 34b = -28 + 0 40 + 34b = -28 Add '-40' to each side of the equation. 40 + -40 + 34b = -28 + -40 Combine like terms: 40 + -40 = 0 0 + 34b = -28 + -40 34b = -28 + -40 Combine like terms: -28 + -40 = -68 34b = -68 Divide each side by '34'. b = -2 Simplifying b = -2
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