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Simplifying (13b + -7) + -4(3b + 2) = -5 Reorder the terms: (-7 + 13b) + -4(3b + 2) = -5 Remove parenthesis around (-7 + 13b) -7 + 13b + -4(3b + 2) = -5 Reorder the terms: -7 + 13b + -4(2 + 3b) = -5 -7 + 13b + (2 * -4 + 3b * -4) = -5 -7 + 13b + (-8 + -12b) = -5 Reorder the terms: -7 + -8 + 13b + -12b = -5 Combine like terms: -7 + -8 = -15 -15 + 13b + -12b = -5 Combine like terms: 13b + -12b = 1b -15 + 1b = -5 Solving -15 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -5 + 15 1b = -5 + 15 Combine like terms: -5 + 15 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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