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Simplifying 3(j + 9) + -1(-2) = 5 Reorder the terms: 3(9 + j) + -1(-2) = 5 (9 * 3 + j * 3) + -1(-2) = 5 (27 + 3j) + -1(-2) = 5 Multiply -1 * -2 27 + 3j + 2 = 5 Reorder the terms: 27 + 2 + 3j = 5 Combine like terms: 27 + 2 = 29 29 + 3j = 5 Solving 29 + 3j = 5 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 3j = 5 + -29 Combine like terms: 29 + -29 = 0 0 + 3j = 5 + -29 3j = 5 + -29 Combine like terms: 5 + -29 = -24 3j = -24 Divide each side by '3'. j = -8 Simplifying j = -8
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