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Simplifying -3(4 + -5b) = 13b + 6 (4 * -3 + -5b * -3) = 13b + 6 (-12 + 15b) = 13b + 6 Reorder the terms: -12 + 15b = 6 + 13b Solving -12 + 15b = 6 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. -12 + 15b + -13b = 6 + 13b + -13b Combine like terms: 15b + -13b = 2b -12 + 2b = 6 + 13b + -13b Combine like terms: 13b + -13b = 0 -12 + 2b = 6 + 0 -12 + 2b = 6 Add '12' to each side of the equation. -12 + 12 + 2b = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2b = 6 + 12 2b = 6 + 12 Combine like terms: 6 + 12 = 18 2b = 18 Divide each side by '2'. b = 9 Simplifying b = 9
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