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Simplifying (19b + -7) + -9(2b + 1) = 6 Reorder the terms: (-7 + 19b) + -9(2b + 1) = 6 Remove parenthesis around (-7 + 19b) -7 + 19b + -9(2b + 1) = 6 Reorder the terms: -7 + 19b + -9(1 + 2b) = 6 -7 + 19b + (1 * -9 + 2b * -9) = 6 -7 + 19b + (-9 + -18b) = 6 Reorder the terms: -7 + -9 + 19b + -18b = 6 Combine like terms: -7 + -9 = -16 -16 + 19b + -18b = 6 Combine like terms: 19b + -18b = 1b -16 + 1b = 6 Solving -16 + 1b = 6 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 = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = 6 + 16 1b = 6 + 16 Combine like terms: 6 + 16 = 22 1b = 22 Divide each side by '1'. b = 22 Simplifying b = 22
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