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Simplifying (19b + -7) + -6(3b + 4) = -4 Reorder the terms: (-7 + 19b) + -6(3b + 4) = -4 Remove parenthesis around (-7 + 19b) -7 + 19b + -6(3b + 4) = -4 Reorder the terms: -7 + 19b + -6(4 + 3b) = -4 -7 + 19b + (4 * -6 + 3b * -6) = -4 -7 + 19b + (-24 + -18b) = -4 Reorder the terms: -7 + -24 + 19b + -18b = -4 Combine like terms: -7 + -24 = -31 -31 + 19b + -18b = -4 Combine like terms: 19b + -18b = 1b -31 + 1b = -4 Solving -31 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = -4 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = -4 + 31 1b = -4 + 31 Combine like terms: -4 + 31 = 27 1b = 27 Divide each side by '1'. b = 27 Simplifying b = 27
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