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Simplifying (13b + -5) + -4(3b + 2) = -7 Reorder the terms: (-5 + 13b) + -4(3b + 2) = -7 Remove parenthesis around (-5 + 13b) -5 + 13b + -4(3b + 2) = -7 Reorder the terms: -5 + 13b + -4(2 + 3b) = -7 -5 + 13b + (2 * -4 + 3b * -4) = -7 -5 + 13b + (-8 + -12b) = -7 Reorder the terms: -5 + -8 + 13b + -12b = -7 Combine like terms: -5 + -8 = -13 -13 + 13b + -12b = -7 Combine like terms: 13b + -12b = 1b -13 + 1b = -7 Solving -13 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -7 + 13 1b = -7 + 13 Combine like terms: -7 + 13 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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