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Simplifying 8(3 + -10b) + 10(4 + 10b) = 0 (3 * 8 + -10b * 8) + 10(4 + 10b) = 0 (24 + -80b) + 10(4 + 10b) = 0 24 + -80b + (4 * 10 + 10b * 10) = 0 24 + -80b + (40 + 100b) = 0 Reorder the terms: 24 + 40 + -80b + 100b = 0 Combine like terms: 24 + 40 = 64 64 + -80b + 100b = 0 Combine like terms: -80b + 100b = 20b 64 + 20b = 0 Solving 64 + 20b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 20b = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 20b = 0 + -64 20b = 0 + -64 Combine like terms: 0 + -64 = -64 20b = -64 Divide each side by '20'. b = -3.2 Simplifying b = -3.2
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