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Simplifying (7b + -7) + -2(3b + 1) = -2 Reorder the terms: (-7 + 7b) + -2(3b + 1) = -2 Remove parenthesis around (-7 + 7b) -7 + 7b + -2(3b + 1) = -2 Reorder the terms: -7 + 7b + -2(1 + 3b) = -2 -7 + 7b + (1 * -2 + 3b * -2) = -2 -7 + 7b + (-2 + -6b) = -2 Reorder the terms: -7 + -2 + 7b + -6b = -2 Combine like terms: -7 + -2 = -9 -9 + 7b + -6b = -2 Combine like terms: 7b + -6b = 1b -9 + 1b = -2 Solving -9 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -2 + 9 1b = -2 + 9 Combine like terms: -2 + 9 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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