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