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Simplifying (19b + -1) + -6(3b + 1) = 3 Reorder the terms: (-1 + 19b) + -6(3b + 1) = 3 Remove parenthesis around (-1 + 19b) -1 + 19b + -6(3b + 1) = 3 Reorder the terms: -1 + 19b + -6(1 + 3b) = 3 -1 + 19b + (1 * -6 + 3b * -6) = 3 -1 + 19b + (-6 + -18b) = 3 Reorder the terms: -1 + -6 + 19b + -18b = 3 Combine like terms: -1 + -6 = -7 -7 + 19b + -18b = 3 Combine like terms: 19b + -18b = 1b -7 + 1b = 3 Solving -7 + 1b = 3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1b = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = 3 + 7 1b = 3 + 7 Combine like terms: 3 + 7 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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