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Simplifying 2j + 10 + -5j = j + -10 Reorder the terms: 10 + 2j + -5j = j + -10 Combine like terms: 2j + -5j = -3j 10 + -3j = j + -10 Reorder the terms: 10 + -3j = -10 + j Solving 10 + -3j = -10 + 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. 10 + -3j + -1j = -10 + j + -1j Combine like terms: -3j + -1j = -4j 10 + -4j = -10 + j + -1j Combine like terms: j + -1j = 0 10 + -4j = -10 + 0 10 + -4j = -10 Add '-10' to each side of the equation. 10 + -10 + -4j = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4j = -10 + -10 -4j = -10 + -10 Combine like terms: -10 + -10 = -20 -4j = -20 Divide each side by '-4'. j = 5 Simplifying j = 5
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