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Simplifying (19b + -2) + -9(2b + 3) = 5 Reorder the terms: (-2 + 19b) + -9(2b + 3) = 5 Remove parenthesis around (-2 + 19b) -2 + 19b + -9(2b + 3) = 5 Reorder the terms: -2 + 19b + -9(3 + 2b) = 5 -2 + 19b + (3 * -9 + 2b * -9) = 5 -2 + 19b + (-27 + -18b) = 5 Reorder the terms: -2 + -27 + 19b + -18b = 5 Combine like terms: -2 + -27 = -29 -29 + 19b + -18b = 5 Combine like terms: 19b + -18b = 1b -29 + 1b = 5 Solving -29 + 1b = 5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1b = 5 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = 5 + 29 1b = 5 + 29 Combine like terms: 5 + 29 = 34 1b = 34 Divide each side by '1'. b = 34 Simplifying b = 34
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