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Simplifying 7(3b + 8) + 6(10b + 4) = 0 Reorder the terms: 7(8 + 3b) + 6(10b + 4) = 0 (8 * 7 + 3b * 7) + 6(10b + 4) = 0 (56 + 21b) + 6(10b + 4) = 0 Reorder the terms: 56 + 21b + 6(4 + 10b) = 0 56 + 21b + (4 * 6 + 10b * 6) = 0 56 + 21b + (24 + 60b) = 0 Reorder the terms: 56 + 24 + 21b + 60b = 0 Combine like terms: 56 + 24 = 80 80 + 21b + 60b = 0 Combine like terms: 21b + 60b = 81b 80 + 81b = 0 Solving 80 + 81b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 81b = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 81b = 0 + -80 81b = 0 + -80 Combine like terms: 0 + -80 = -80 81b = -80 Divide each side by '81'. b = -0.987654321 Simplifying b = -0.987654321
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