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Simplifying 5 + -1(b + 1) + -3(b + -2) = 0 Reorder the terms: 5 + -1(1 + b) + -3(b + -2) = 0 5 + (1 * -1 + b * -1) + -3(b + -2) = 0 5 + (-1 + -1b) + -3(b + -2) = 0 Reorder the terms: 5 + -1 + -1b + -3(-2 + b) = 0 5 + -1 + -1b + (-2 * -3 + b * -3) = 0 5 + -1 + -1b + (6 + -3b) = 0 Reorder the terms: 5 + -1 + 6 + -1b + -3b = 0 Combine like terms: 5 + -1 = 4 4 + 6 + -1b + -3b = 0 Combine like terms: 4 + 6 = 10 10 + -1b + -3b = 0 Combine like terms: -1b + -3b = -4b 10 + -4b = 0 Solving 10 + -4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4b = 0 + -10 -4b = 0 + -10 Combine like terms: 0 + -10 = -10 -4b = -10 Divide each side by '-4'. b = 2.5 Simplifying b = 2.5
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