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Simplifying (13b + -4) + -6(2b + 3) = -3 Reorder the terms: (-4 + 13b) + -6(2b + 3) = -3 Remove parenthesis around (-4 + 13b) -4 + 13b + -6(2b + 3) = -3 Reorder the terms: -4 + 13b + -6(3 + 2b) = -3 -4 + 13b + (3 * -6 + 2b * -6) = -3 -4 + 13b + (-18 + -12b) = -3 Reorder the terms: -4 + -18 + 13b + -12b = -3 Combine like terms: -4 + -18 = -22 -22 + 13b + -12b = -3 Combine like terms: 13b + -12b = 1b -22 + 1b = -3 Solving -22 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1b = -3 + 22 Combine like terms: -22 + 22 = 0 0 + 1b = -3 + 22 1b = -3 + 22 Combine like terms: -3 + 22 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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