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Simplifying (19b + -7) + -6(3b + 2) = -6 Reorder the terms: (-7 + 19b) + -6(3b + 2) = -6 Remove parenthesis around (-7 + 19b) -7 + 19b + -6(3b + 2) = -6 Reorder the terms: -7 + 19b + -6(2 + 3b) = -6 -7 + 19b + (2 * -6 + 3b * -6) = -6 -7 + 19b + (-12 + -18b) = -6 Reorder the terms: -7 + -12 + 19b + -18b = -6 Combine like terms: -7 + -12 = -19 -19 + 19b + -18b = -6 Combine like terms: 19b + -18b = 1b -19 + 1b = -6 Solving -19 + 1b = -6 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 = -6 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = -6 + 19 1b = -6 + 19 Combine like terms: -6 + 19 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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