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Simplifying (19b + -2) + -6(3b + 1) = 6 Reorder the terms: (-2 + 19b) + -6(3b + 1) = 6 Remove parenthesis around (-2 + 19b) -2 + 19b + -6(3b + 1) = 6 Reorder the terms: -2 + 19b + -6(1 + 3b) = 6 -2 + 19b + (1 * -6 + 3b * -6) = 6 -2 + 19b + (-6 + -18b) = 6 Reorder the terms: -2 + -6 + 19b + -18b = 6 Combine like terms: -2 + -6 = -8 -8 + 19b + -18b = 6 Combine like terms: 19b + -18b = 1b -8 + 1b = 6 Solving -8 + 1b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 6 + 8 1b = 6 + 8 Combine like terms: 6 + 8 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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