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Simplifying 4b + 3(2b + -1) = 2b + 13 Reorder the terms: 4b + 3(-1 + 2b) = 2b + 13 4b + (-1 * 3 + 2b * 3) = 2b + 13 4b + (-3 + 6b) = 2b + 13 Reorder the terms: -3 + 4b + 6b = 2b + 13 Combine like terms: 4b + 6b = 10b -3 + 10b = 2b + 13 Reorder the terms: -3 + 10b = 13 + 2b Solving -3 + 10b = 13 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -3 + 10b + -2b = 13 + 2b + -2b Combine like terms: 10b + -2b = 8b -3 + 8b = 13 + 2b + -2b Combine like terms: 2b + -2b = 0 -3 + 8b = 13 + 0 -3 + 8b = 13 Add '3' to each side of the equation. -3 + 3 + 8b = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 8b = 13 + 3 8b = 13 + 3 Combine like terms: 13 + 3 = 16 8b = 16 Divide each side by '8'. b = 2 Simplifying b = 2
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