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Simplifying (7b + -8) + -2(3b + 2) = -7 Reorder the terms: (-8 + 7b) + -2(3b + 2) = -7 Remove parenthesis around (-8 + 7b) -8 + 7b + -2(3b + 2) = -7 Reorder the terms: -8 + 7b + -2(2 + 3b) = -7 -8 + 7b + (2 * -2 + 3b * -2) = -7 -8 + 7b + (-4 + -6b) = -7 Reorder the terms: -8 + -4 + 7b + -6b = -7 Combine like terms: -8 + -4 = -12 -12 + 7b + -6b = -7 Combine like terms: 7b + -6b = 1b -12 + 1b = -7 Solving -12 + 1b = -7 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 = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -7 + 12 1b = -7 + 12 Combine like terms: -7 + 12 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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