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Simplifying (19b + -7) + -6(3b + 1) = -2 Reorder the terms: (-7 + 19b) + -6(3b + 1) = -2 Remove parenthesis around (-7 + 19b) -7 + 19b + -6(3b + 1) = -2 Reorder the terms: -7 + 19b + -6(1 + 3b) = -2 -7 + 19b + (1 * -6 + 3b * -6) = -2 -7 + 19b + (-6 + -18b) = -2 Reorder the terms: -7 + -6 + 19b + -18b = -2 Combine like terms: -7 + -6 = -13 -13 + 19b + -18b = -2 Combine like terms: 19b + -18b = 1b -13 + 1b = -2 Solving -13 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -2 + 13 1b = -2 + 13 Combine like terms: -2 + 13 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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