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Simplifying 3(2j + 6) = 2(4b + 1) Reorder the terms: 3(6 + 2j) = 2(4b + 1) (6 * 3 + 2j * 3) = 2(4b + 1) (18 + 6j) = 2(4b + 1) Reorder the terms: 18 + 6j = 2(1 + 4b) 18 + 6j = (1 * 2 + 4b * 2) 18 + 6j = (2 + 8b) Solving 18 + 6j = 2 + 8b Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6j = 2 + -18 + 8b Combine like terms: 18 + -18 = 0 0 + 6j = 2 + -18 + 8b 6j = 2 + -18 + 8b Combine like terms: 2 + -18 = -16 6j = -16 + 8b Divide each side by '6'. j = -2.666666667 + 1.333333333b Simplifying j = -2.666666667 + 1.333333333b
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