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Simplifying (7b + -8) + -2(3b + 4) = -7 Reorder the terms: (-8 + 7b) + -2(3b + 4) = -7 Remove parenthesis around (-8 + 7b) -8 + 7b + -2(3b + 4) = -7 Reorder the terms: -8 + 7b + -2(4 + 3b) = -7 -8 + 7b + (4 * -2 + 3b * -2) = -7 -8 + 7b + (-8 + -6b) = -7 Reorder the terms: -8 + -8 + 7b + -6b = -7 Combine like terms: -8 + -8 = -16 -16 + 7b + -6b = -7 Combine like terms: 7b + -6b = 1b -16 + 1b = -7 Solving -16 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = -7 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = -7 + 16 1b = -7 + 16 Combine like terms: -7 + 16 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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