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Simplifying 8 + 3b + -1(5b + 1) + -1(2b + 4) = 0 Reorder the terms: 8 + 3b + -1(1 + 5b) + -1(2b + 4) = 0 8 + 3b + (1 * -1 + 5b * -1) + -1(2b + 4) = 0 8 + 3b + (-1 + -5b) + -1(2b + 4) = 0 Reorder the terms: 8 + 3b + -1 + -5b + -1(4 + 2b) = 0 8 + 3b + -1 + -5b + (4 * -1 + 2b * -1) = 0 8 + 3b + -1 + -5b + (-4 + -2b) = 0 Reorder the terms: 8 + -1 + -4 + 3b + -5b + -2b = 0 Combine like terms: 8 + -1 = 7 7 + -4 + 3b + -5b + -2b = 0 Combine like terms: 7 + -4 = 3 3 + 3b + -5b + -2b = 0 Combine like terms: 3b + -5b = -2b 3 + -2b + -2b = 0 Combine like terms: -2b + -2b = -4b 3 + -4b = 0 Solving 3 + -4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4b = 0 + -3 -4b = 0 + -3 Combine like terms: 0 + -3 = -3 -4b = -3 Divide each side by '-4'. b = 0.75 Simplifying b = 0.75
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