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Simplifying (5b + -1) + -2(2b + 1) = -6 Reorder the terms: (-1 + 5b) + -2(2b + 1) = -6 Remove parenthesis around (-1 + 5b) -1 + 5b + -2(2b + 1) = -6 Reorder the terms: -1 + 5b + -2(1 + 2b) = -6 -1 + 5b + (1 * -2 + 2b * -2) = -6 -1 + 5b + (-2 + -4b) = -6 Reorder the terms: -1 + -2 + 5b + -4b = -6 Combine like terms: -1 + -2 = -3 -3 + 5b + -4b = -6 Combine like terms: 5b + -4b = 1b -3 + 1b = -6 Solving -3 + 1b = -6 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 + 1b = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 1b = -6 + 3 1b = -6 + 3 Combine like terms: -6 + 3 = -3 1b = -3 Divide each side by '1'. b = -3 Simplifying b = -3
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