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Simplifying (9b + -7) + -2(4b + 3) = 7 Reorder the terms: (-7 + 9b) + -2(4b + 3) = 7 Remove parenthesis around (-7 + 9b) -7 + 9b + -2(4b + 3) = 7 Reorder the terms: -7 + 9b + -2(3 + 4b) = 7 -7 + 9b + (3 * -2 + 4b * -2) = 7 -7 + 9b + (-6 + -8b) = 7 Reorder the terms: -7 + -6 + 9b + -8b = 7 Combine like terms: -7 + -6 = -13 -13 + 9b + -8b = 7 Combine like terms: 9b + -8b = 1b -13 + 1b = 7 Solving -13 + 1b = 7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = 7 + 13 1b = 7 + 13 Combine like terms: 7 + 13 = 20 1b = 20 Divide each side by '1'. b = 20 Simplifying b = 20
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