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Simplifying (13b + -7) + -4(3b + 3) = -7 Reorder the terms: (-7 + 13b) + -4(3b + 3) = -7 Remove parenthesis around (-7 + 13b) -7 + 13b + -4(3b + 3) = -7 Reorder the terms: -7 + 13b + -4(3 + 3b) = -7 -7 + 13b + (3 * -4 + 3b * -4) = -7 -7 + 13b + (-12 + -12b) = -7 Reorder the terms: -7 + -12 + 13b + -12b = -7 Combine like terms: -7 + -12 = -19 -19 + 13b + -12b = -7 Combine like terms: 13b + -12b = 1b -19 + 1b = -7 Solving -19 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = -7 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = -7 + 19 1b = -7 + 19 Combine like terms: -7 + 19 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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