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Simplifying 46 = j + -9 + 6 + -10 + -5 Reorder the terms: 46 = -9 + 6 + -10 + -5 + j Combine like terms: -9 + 6 = -3 46 = -3 + -10 + -5 + j Combine like terms: -3 + -10 = -13 46 = -13 + -5 + j Combine like terms: -13 + -5 = -18 46 = -18 + j Solving 46 = -18 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 46 + -1j = -18 + j + -1j Combine like terms: j + -1j = 0 46 + -1j = -18 + 0 46 + -1j = -18 Add '-46' to each side of the equation. 46 + -46 + -1j = -18 + -46 Combine like terms: 46 + -46 = 0 0 + -1j = -18 + -46 -1j = -18 + -46 Combine like terms: -18 + -46 = -64 -1j = -64 Divide each side by '-1'. j = 64 Simplifying j = 64
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