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Simplifying (19b + -4) + -6(3b + 1) = -5 Reorder the terms: (-4 + 19b) + -6(3b + 1) = -5 Remove parenthesis around (-4 + 19b) -4 + 19b + -6(3b + 1) = -5 Reorder the terms: -4 + 19b + -6(1 + 3b) = -5 -4 + 19b + (1 * -6 + 3b * -6) = -5 -4 + 19b + (-6 + -18b) = -5 Reorder the terms: -4 + -6 + 19b + -18b = -5 Combine like terms: -4 + -6 = -10 -10 + 19b + -18b = -5 Combine like terms: 19b + -18b = 1b -10 + 1b = -5 Solving -10 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -5 + 10 1b = -5 + 10 Combine like terms: -5 + 10 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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