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Simplifying (13b + -3) + -6(2b + 3) = -5 Reorder the terms: (-3 + 13b) + -6(2b + 3) = -5 Remove parenthesis around (-3 + 13b) -3 + 13b + -6(2b + 3) = -5 Reorder the terms: -3 + 13b + -6(3 + 2b) = -5 -3 + 13b + (3 * -6 + 2b * -6) = -5 -3 + 13b + (-18 + -12b) = -5 Reorder the terms: -3 + -18 + 13b + -12b = -5 Combine like terms: -3 + -18 = -21 -21 + 13b + -12b = -5 Combine like terms: 13b + -12b = 1b -21 + 1b = -5 Solving -21 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -5 + 21 1b = -5 + 21 Combine like terms: -5 + 21 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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