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Simplifying 10(2b + 1) + -4(3b + 2) = 0 Reorder the terms: 10(1 + 2b) + -4(3b + 2) = 0 (1 * 10 + 2b * 10) + -4(3b + 2) = 0 (10 + 20b) + -4(3b + 2) = 0 Reorder the terms: 10 + 20b + -4(2 + 3b) = 0 10 + 20b + (2 * -4 + 3b * -4) = 0 10 + 20b + (-8 + -12b) = 0 Reorder the terms: 10 + -8 + 20b + -12b = 0 Combine like terms: 10 + -8 = 2 2 + 20b + -12b = 0 Combine like terms: 20b + -12b = 8b 2 + 8b = 0 Solving 2 + 8b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8b = 0 + -2 8b = 0 + -2 Combine like terms: 0 + -2 = -2 8b = -2 Divide each side by '8'. b = -0.25 Simplifying b = -0.25
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