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Simplifying (19b + -1) + -6(3b + 3) = -5 Reorder the terms: (-1 + 19b) + -6(3b + 3) = -5 Remove parenthesis around (-1 + 19b) -1 + 19b + -6(3b + 3) = -5 Reorder the terms: -1 + 19b + -6(3 + 3b) = -5 -1 + 19b + (3 * -6 + 3b * -6) = -5 -1 + 19b + (-18 + -18b) = -5 Reorder the terms: -1 + -18 + 19b + -18b = -5 Combine like terms: -1 + -18 = -19 -19 + 19b + -18b = -5 Combine like terms: 19b + -18b = 1b -19 + 1b = -5 Solving -19 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = -5 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = -5 + 19 1b = -5 + 19 Combine like terms: -5 + 19 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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