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Simplifying (5b + -8) + -2(2b + 1) = -7 Reorder the terms: (-8 + 5b) + -2(2b + 1) = -7 Remove parenthesis around (-8 + 5b) -8 + 5b + -2(2b + 1) = -7 Reorder the terms: -8 + 5b + -2(1 + 2b) = -7 -8 + 5b + (1 * -2 + 2b * -2) = -7 -8 + 5b + (-2 + -4b) = -7 Reorder the terms: -8 + -2 + 5b + -4b = -7 Combine like terms: -8 + -2 = -10 -10 + 5b + -4b = -7 Combine like terms: 5b + -4b = 1b -10 + 1b = -7 Solving -10 + 1b = -7 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 + 1b = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -7 + 10 1b = -7 + 10 Combine like terms: -7 + 10 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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