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Simplifying (19b + -9) + -6(3b + 2) = -5 Reorder the terms: (-9 + 19b) + -6(3b + 2) = -5 Remove parenthesis around (-9 + 19b) -9 + 19b + -6(3b + 2) = -5 Reorder the terms: -9 + 19b + -6(2 + 3b) = -5 -9 + 19b + (2 * -6 + 3b * -6) = -5 -9 + 19b + (-12 + -18b) = -5 Reorder the terms: -9 + -12 + 19b + -18b = -5 Combine like terms: -9 + -12 = -21 -21 + 19b + -18b = -5 Combine like terms: 19b + -18b = 1b -21 + 1b = -5 Solving -21 + 1b = -5 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 = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -5 + 21 1b = -5 + 21 Combine like terms: -5 + 21 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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