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Simplifying 9j + 3(j + 1) = 10j + 7 Reorder the terms: 9j + 3(1 + j) = 10j + 7 9j + (1 * 3 + j * 3) = 10j + 7 9j + (3 + 3j) = 10j + 7 Reorder the terms: 3 + 9j + 3j = 10j + 7 Combine like terms: 9j + 3j = 12j 3 + 12j = 10j + 7 Reorder the terms: 3 + 12j = 7 + 10j Solving 3 + 12j = 7 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. 3 + 12j + -10j = 7 + 10j + -10j Combine like terms: 12j + -10j = 2j 3 + 2j = 7 + 10j + -10j Combine like terms: 10j + -10j = 0 3 + 2j = 7 + 0 3 + 2j = 7 Add '-3' to each side of the equation. 3 + -3 + 2j = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2j = 7 + -3 2j = 7 + -3 Combine like terms: 7 + -3 = 4 2j = 4 Divide each side by '2'. j = 2 Simplifying j = 2
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