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Simplifying 6 = 7(j + 8) Reorder the terms: 6 = 7(8 + j) 6 = (8 * 7 + j * 7) 6 = (56 + 7j) Solving 6 = 56 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. 6 + -7j = 56 + 7j + -7j Combine like terms: 7j + -7j = 0 6 + -7j = 56 + 0 6 + -7j = 56 Add '-6' to each side of the equation. 6 + -6 + -7j = 56 + -6 Combine like terms: 6 + -6 = 0 0 + -7j = 56 + -6 -7j = 56 + -6 Combine like terms: 56 + -6 = 50 -7j = 50 Divide each side by '-7'. j = -7.142857143 Simplifying j = -7.142857143
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