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Simplifying (19b + -3) + -9(2b + 2) = -2 Reorder the terms: (-3 + 19b) + -9(2b + 2) = -2 Remove parenthesis around (-3 + 19b) -3 + 19b + -9(2b + 2) = -2 Reorder the terms: -3 + 19b + -9(2 + 2b) = -2 -3 + 19b + (2 * -9 + 2b * -9) = -2 -3 + 19b + (-18 + -18b) = -2 Reorder the terms: -3 + -18 + 19b + -18b = -2 Combine like terms: -3 + -18 = -21 -21 + 19b + -18b = -2 Combine like terms: 19b + -18b = 1b -21 + 1b = -2 Solving -21 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = -2 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -2 + 21 1b = -2 + 21 Combine like terms: -2 + 21 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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