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Simplifying 5j + 4(9k + -3j) + 8 + -2k = 0 Reorder the terms: 5j + 4(-3j + 9k) + 8 + -2k = 0 5j + (-3j * 4 + 9k * 4) + 8 + -2k = 0 5j + (-12j + 36k) + 8 + -2k = 0 Reorder the terms: 8 + 5j + -12j + 36k + -2k = 0 Combine like terms: 5j + -12j = -7j 8 + -7j + 36k + -2k = 0 Combine like terms: 36k + -2k = 34k 8 + -7j + 34k = 0 Solving 8 + -7j + 34k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -7j + -8 + 34k = 0 + -8 Reorder the terms: 8 + -8 + -7j + 34k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7j + 34k = 0 + -8 -7j + 34k = 0 + -8 Combine like terms: 0 + -8 = -8 -7j + 34k = -8 Add '-34k' to each side of the equation. -7j + 34k + -34k = -8 + -34k Combine like terms: 34k + -34k = 0 -7j + 0 = -8 + -34k -7j = -8 + -34k Divide each side by '-7'. j = 1.142857143 + 4.857142857k Simplifying j = 1.142857143 + 4.857142857k
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