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Simplifying (19b + -2) + -9(2b + 4) = -3 Reorder the terms: (-2 + 19b) + -9(2b + 4) = -3 Remove parenthesis around (-2 + 19b) -2 + 19b + -9(2b + 4) = -3 Reorder the terms: -2 + 19b + -9(4 + 2b) = -3 -2 + 19b + (4 * -9 + 2b * -9) = -3 -2 + 19b + (-36 + -18b) = -3 Reorder the terms: -2 + -36 + 19b + -18b = -3 Combine like terms: -2 + -36 = -38 -38 + 19b + -18b = -3 Combine like terms: 19b + -18b = 1b -38 + 1b = -3 Solving -38 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 1b = -3 + 38 Combine like terms: -38 + 38 = 0 0 + 1b = -3 + 38 1b = -3 + 38 Combine like terms: -3 + 38 = 35 1b = 35 Divide each side by '1'. b = 35 Simplifying b = 35
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