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Simplifying -6j + 5j + -12 = 71 + -3 * 13 Reorder the terms: -12 + -6j + 5j = 71 + -3 * 13 Combine like terms: -6j + 5j = -1j -12 + -1j = 71 + -3 * 13 Multiply -3 * 13 -12 + -1j = 71 + -39 Combine like terms: 71 + -39 = 32 -12 + -1j = 32 Solving -12 + -1j = 32 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1j = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -1j = 32 + 12 -1j = 32 + 12 Combine like terms: 32 + 12 = 44 -1j = 44 Divide each side by '-1'. j = -44 Simplifying j = -44
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