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Simplifying (7b + -4) + -2(3b + 4) = -6 Reorder the terms: (-4 + 7b) + -2(3b + 4) = -6 Remove parenthesis around (-4 + 7b) -4 + 7b + -2(3b + 4) = -6 Reorder the terms: -4 + 7b + -2(4 + 3b) = -6 -4 + 7b + (4 * -2 + 3b * -2) = -6 -4 + 7b + (-8 + -6b) = -6 Reorder the terms: -4 + -8 + 7b + -6b = -6 Combine like terms: -4 + -8 = -12 -12 + 7b + -6b = -6 Combine like terms: 7b + -6b = 1b -12 + 1b = -6 Solving -12 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -6 + 12 1b = -6 + 12 Combine like terms: -6 + 12 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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