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Simplifying 5(2j + 1) = 6(j + 2) Reorder the terms: 5(1 + 2j) = 6(j + 2) (1 * 5 + 2j * 5) = 6(j + 2) (5 + 10j) = 6(j + 2) Reorder the terms: 5 + 10j = 6(2 + j) 5 + 10j = (2 * 6 + j * 6) 5 + 10j = (12 + 6j) Solving 5 + 10j = 12 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 5 + 10j + -6j = 12 + 6j + -6j Combine like terms: 10j + -6j = 4j 5 + 4j = 12 + 6j + -6j Combine like terms: 6j + -6j = 0 5 + 4j = 12 + 0 5 + 4j = 12 Add '-5' to each side of the equation. 5 + -5 + 4j = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 4j = 12 + -5 4j = 12 + -5 Combine like terms: 12 + -5 = 7 4j = 7 Divide each side by '4'. j = 1.75 Simplifying j = 1.75
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