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Simplifying (19b + -1) + -9(2b + 3) = -4 Reorder the terms: (-1 + 19b) + -9(2b + 3) = -4 Remove parenthesis around (-1 + 19b) -1 + 19b + -9(2b + 3) = -4 Reorder the terms: -1 + 19b + -9(3 + 2b) = -4 -1 + 19b + (3 * -9 + 2b * -9) = -4 -1 + 19b + (-27 + -18b) = -4 Reorder the terms: -1 + -27 + 19b + -18b = -4 Combine like terms: -1 + -27 = -28 -28 + 19b + -18b = -4 Combine like terms: 19b + -18b = 1b -28 + 1b = -4 Solving -28 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1b = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 1b = -4 + 28 1b = -4 + 28 Combine like terms: -4 + 28 = 24 1b = 24 Divide each side by '1'. b = 24 Simplifying b = 24
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