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Simplifying 83 = 3(j + -71) + 20 Reorder the terms: 83 = 3(-71 + j) + 20 83 = (-71 * 3 + j * 3) + 20 83 = (-213 + 3j) + 20 Reorder the terms: 83 = -213 + 20 + 3j Combine like terms: -213 + 20 = -193 83 = -193 + 3j Solving 83 = -193 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 83 + -3j = -193 + 3j + -3j Combine like terms: 3j + -3j = 0 83 + -3j = -193 + 0 83 + -3j = -193 Add '-83' to each side of the equation. 83 + -83 + -3j = -193 + -83 Combine like terms: 83 + -83 = 0 0 + -3j = -193 + -83 -3j = -193 + -83 Combine like terms: -193 + -83 = -276 -3j = -276 Divide each side by '-3'. j = 92 Simplifying j = 92
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