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Simplifying 8 + 2b + -1(5b + 1) + -1(2b + 6) = 0 Reorder the terms: 8 + 2b + -1(1 + 5b) + -1(2b + 6) = 0 8 + 2b + (1 * -1 + 5b * -1) + -1(2b + 6) = 0 8 + 2b + (-1 + -5b) + -1(2b + 6) = 0 Reorder the terms: 8 + 2b + -1 + -5b + -1(6 + 2b) = 0 8 + 2b + -1 + -5b + (6 * -1 + 2b * -1) = 0 8 + 2b + -1 + -5b + (-6 + -2b) = 0 Reorder the terms: 8 + -1 + -6 + 2b + -5b + -2b = 0 Combine like terms: 8 + -1 = 7 7 + -6 + 2b + -5b + -2b = 0 Combine like terms: 7 + -6 = 1 1 + 2b + -5b + -2b = 0 Combine like terms: 2b + -5b = -3b 1 + -3b + -2b = 0 Combine like terms: -3b + -2b = -5b 1 + -5b = 0 Solving 1 + -5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5b = 0 + -1 -5b = 0 + -1 Combine like terms: 0 + -1 = -1 -5b = -1 Divide each side by '-5'. b = 0.2 Simplifying b = 0.2
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