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Simplifying 5(2b + 1) + 7(4b + 2) = 0 Reorder the terms: 5(1 + 2b) + 7(4b + 2) = 0 (1 * 5 + 2b * 5) + 7(4b + 2) = 0 (5 + 10b) + 7(4b + 2) = 0 Reorder the terms: 5 + 10b + 7(2 + 4b) = 0 5 + 10b + (2 * 7 + 4b * 7) = 0 5 + 10b + (14 + 28b) = 0 Reorder the terms: 5 + 14 + 10b + 28b = 0 Combine like terms: 5 + 14 = 19 19 + 10b + 28b = 0 Combine like terms: 10b + 28b = 38b 19 + 38b = 0 Solving 19 + 38b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 38b = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 38b = 0 + -19 38b = 0 + -19 Combine like terms: 0 + -19 = -19 38b = -19 Divide each side by '38'. b = -0.5 Simplifying b = -0.5
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