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