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