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Simplifying (13b + -3) + -6(2b + 1) = -3 Reorder the terms: (-3 + 13b) + -6(2b + 1) = -3 Remove parenthesis around (-3 + 13b) -3 + 13b + -6(2b + 1) = -3 Reorder the terms: -3 + 13b + -6(1 + 2b) = -3 -3 + 13b + (1 * -6 + 2b * -6) = -3 -3 + 13b + (-6 + -12b) = -3 Reorder the terms: -3 + -6 + 13b + -12b = -3 Combine like terms: -3 + -6 = -9 -9 + 13b + -12b = -3 Combine like terms: 13b + -12b = 1b -9 + 1b = -3 Solving -9 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -3 + 9 1b = -3 + 9 Combine like terms: -3 + 9 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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