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Simplifying (19b + -7) + -9(2b + 3) = -6 Reorder the terms: (-7 + 19b) + -9(2b + 3) = -6 Remove parenthesis around (-7 + 19b) -7 + 19b + -9(2b + 3) = -6 Reorder the terms: -7 + 19b + -9(3 + 2b) = -6 -7 + 19b + (3 * -9 + 2b * -9) = -6 -7 + 19b + (-27 + -18b) = -6 Reorder the terms: -7 + -27 + 19b + -18b = -6 Combine like terms: -7 + -27 = -34 -34 + 19b + -18b = -6 Combine like terms: 19b + -18b = 1b -34 + 1b = -6 Solving -34 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 1b = -6 + 34 Combine like terms: -34 + 34 = 0 0 + 1b = -6 + 34 1b = -6 + 34 Combine like terms: -6 + 34 = 28 1b = 28 Divide each side by '1'. b = 28 Simplifying b = 28
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