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Simplifying 3j + 10 = j + -2 Reorder the terms: 10 + 3j = j + -2 Reorder the terms: 10 + 3j = -2 + j Solving 10 + 3j = -2 + 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 = -2 + j + -1j Combine like terms: 3j + -1j = 2j 10 + 2j = -2 + j + -1j Combine like terms: j + -1j = 0 10 + 2j = -2 + 0 10 + 2j = -2 Add '-10' to each side of the equation. 10 + -10 + 2j = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 2j = -2 + -10 2j = -2 + -10 Combine like terms: -2 + -10 = -12 2j = -12 Divide each side by '2'. j = -6 Simplifying j = -6
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