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Simplifying (9b + -7) + -2(4b + 4) = -6 Reorder the terms: (-7 + 9b) + -2(4b + 4) = -6 Remove parenthesis around (-7 + 9b) -7 + 9b + -2(4b + 4) = -6 Reorder the terms: -7 + 9b + -2(4 + 4b) = -6 -7 + 9b + (4 * -2 + 4b * -2) = -6 -7 + 9b + (-8 + -8b) = -6 Reorder the terms: -7 + -8 + 9b + -8b = -6 Combine like terms: -7 + -8 = -15 -15 + 9b + -8b = -6 Combine like terms: 9b + -8b = 1b -15 + 1b = -6 Solving -15 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -6 + 15 1b = -6 + 15 Combine like terms: -6 + 15 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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