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Simplifying (9b + -4) + -4(2b + 1) = -7 Reorder the terms: (-4 + 9b) + -4(2b + 1) = -7 Remove parenthesis around (-4 + 9b) -4 + 9b + -4(2b + 1) = -7 Reorder the terms: -4 + 9b + -4(1 + 2b) = -7 -4 + 9b + (1 * -4 + 2b * -4) = -7 -4 + 9b + (-4 + -8b) = -7 Reorder the terms: -4 + -4 + 9b + -8b = -7 Combine like terms: -4 + -4 = -8 -8 + 9b + -8b = -7 Combine like terms: 9b + -8b = 1b -8 + 1b = -7 Solving -8 + 1b = -7 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 = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = -7 + 8 1b = -7 + 8 Combine like terms: -7 + 8 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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