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