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Simplifying (37b + -7) + -9(4b + 1) = -7 Reorder the terms: (-7 + 37b) + -9(4b + 1) = -7 Remove parenthesis around (-7 + 37b) -7 + 37b + -9(4b + 1) = -7 Reorder the terms: -7 + 37b + -9(1 + 4b) = -7 -7 + 37b + (1 * -9 + 4b * -9) = -7 -7 + 37b + (-9 + -36b) = -7 Reorder the terms: -7 + -9 + 37b + -36b = -7 Combine like terms: -7 + -9 = -16 -16 + 37b + -36b = -7 Combine like terms: 37b + -36b = 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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