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Simplifying 6(3 + 4b) = -2 + 4b (3 * 6 + 4b * 6) = -2 + 4b (18 + 24b) = -2 + 4b Solving 18 + 24b = -2 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 18 + 24b + -4b = -2 + 4b + -4b Combine like terms: 24b + -4b = 20b 18 + 20b = -2 + 4b + -4b Combine like terms: 4b + -4b = 0 18 + 20b = -2 + 0 18 + 20b = -2 Add '-18' to each side of the equation. 18 + -18 + 20b = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 20b = -2 + -18 20b = -2 + -18 Combine like terms: -2 + -18 = -20 20b = -20 Divide each side by '20'. b = -1 Simplifying b = -1
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