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Simplifying (19b + -6) + -6(3b + 4) = -7 Reorder the terms: (-6 + 19b) + -6(3b + 4) = -7 Remove parenthesis around (-6 + 19b) -6 + 19b + -6(3b + 4) = -7 Reorder the terms: -6 + 19b + -6(4 + 3b) = -7 -6 + 19b + (4 * -6 + 3b * -6) = -7 -6 + 19b + (-24 + -18b) = -7 Reorder the terms: -6 + -24 + 19b + -18b = -7 Combine like terms: -6 + -24 = -30 -30 + 19b + -18b = -7 Combine like terms: 19b + -18b = 1b -30 + 1b = -7 Solving -30 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1b = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = -7 + 30 1b = -7 + 30 Combine like terms: -7 + 30 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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