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Simplifying (13b + -4) + -4(3b + 1) = 2 Reorder the terms: (-4 + 13b) + -4(3b + 1) = 2 Remove parenthesis around (-4 + 13b) -4 + 13b + -4(3b + 1) = 2 Reorder the terms: -4 + 13b + -4(1 + 3b) = 2 -4 + 13b + (1 * -4 + 3b * -4) = 2 -4 + 13b + (-4 + -12b) = 2 Reorder the terms: -4 + -4 + 13b + -12b = 2 Combine like terms: -4 + -4 = -8 -8 + 13b + -12b = 2 Combine like terms: 13b + -12b = 1b -8 + 1b = 2 Solving -8 + 1b = 2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 2 + 8 1b = 2 + 8 Combine like terms: 2 + 8 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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