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Simplifying (7b + -1) + -2(3b + 4) = -7 Reorder the terms: (-1 + 7b) + -2(3b + 4) = -7 Remove parenthesis around (-1 + 7b) -1 + 7b + -2(3b + 4) = -7 Reorder the terms: -1 + 7b + -2(4 + 3b) = -7 -1 + 7b + (4 * -2 + 3b * -2) = -7 -1 + 7b + (-8 + -6b) = -7 Reorder the terms: -1 + -8 + 7b + -6b = -7 Combine like terms: -1 + -8 = -9 -9 + 7b + -6b = -7 Combine like terms: 7b + -6b = 1b -9 + 1b = -7 Solving -9 + 1b = -7 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 = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -7 + 9 1b = -7 + 9 Combine like terms: -7 + 9 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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