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Simplifying 3(2b + 1) + -2(2 + -1b) = 13 Reorder the terms: 3(1 + 2b) + -2(2 + -1b) = 13 (1 * 3 + 2b * 3) + -2(2 + -1b) = 13 (3 + 6b) + -2(2 + -1b) = 13 3 + 6b + (2 * -2 + -1b * -2) = 13 3 + 6b + (-4 + 2b) = 13 Reorder the terms: 3 + -4 + 6b + 2b = 13 Combine like terms: 3 + -4 = -1 -1 + 6b + 2b = 13 Combine like terms: 6b + 2b = 8b -1 + 8b = 13 Solving -1 + 8b = 13 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8b = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 8b = 13 + 1 8b = 13 + 1 Combine like terms: 13 + 1 = 14 8b = 14 Divide each side by '8'. b = 1.75 Simplifying b = 1.75
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