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