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Simplifying (7b + -1) + -2(3b + 2) = -3 Reorder the terms: (-1 + 7b) + -2(3b + 2) = -3 Remove parenthesis around (-1 + 7b) -1 + 7b + -2(3b + 2) = -3 Reorder the terms: -1 + 7b + -2(2 + 3b) = -3 -1 + 7b + (2 * -2 + 3b * -2) = -3 -1 + 7b + (-4 + -6b) = -3 Reorder the terms: -1 + -4 + 7b + -6b = -3 Combine like terms: -1 + -4 = -5 -5 + 7b + -6b = -3 Combine like terms: 7b + -6b = 1b -5 + 1b = -3 Solving -5 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1b = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 1b = -3 + 5 1b = -3 + 5 Combine like terms: -3 + 5 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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