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Simplifying (19b + -5) + -6(3b + 1) = -6 Reorder the terms: (-5 + 19b) + -6(3b + 1) = -6 Remove parenthesis around (-5 + 19b) -5 + 19b + -6(3b + 1) = -6 Reorder the terms: -5 + 19b + -6(1 + 3b) = -6 -5 + 19b + (1 * -6 + 3b * -6) = -6 -5 + 19b + (-6 + -18b) = -6 Reorder the terms: -5 + -6 + 19b + -18b = -6 Combine like terms: -5 + -6 = -11 -11 + 19b + -18b = -6 Combine like terms: 19b + -18b = 1b -11 + 1b = -6 Solving -11 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = -6 + 11 1b = -6 + 11 Combine like terms: -6 + 11 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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