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Simplifying -3(2b + 1) + (7b + -2) = 2 Reorder the terms: -3(1 + 2b) + (7b + -2) = 2 (1 * -3 + 2b * -3) + (7b + -2) = 2 (-3 + -6b) + (7b + -2) = 2 Reorder the terms: -3 + -6b + (-2 + 7b) = 2 Remove parenthesis around (-2 + 7b) -3 + -6b + -2 + 7b = 2 Reorder the terms: -3 + -2 + -6b + 7b = 2 Combine like terms: -3 + -2 = -5 -5 + -6b + 7b = 2 Combine like terms: -6b + 7b = 1b -5 + 1b = 2 Solving -5 + 1b = 2 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 = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 1b = 2 + 5 1b = 2 + 5 Combine like terms: 2 + 5 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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