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Simplifying 4j + -2(3j + 5) = -6j + 2(j + 2) Reorder the terms: 4j + -2(5 + 3j) = -6j + 2(j + 2) 4j + (5 * -2 + 3j * -2) = -6j + 2(j + 2) 4j + (-10 + -6j) = -6j + 2(j + 2) Reorder the terms: -10 + 4j + -6j = -6j + 2(j + 2) Combine like terms: 4j + -6j = -2j -10 + -2j = -6j + 2(j + 2) Reorder the terms: -10 + -2j = -6j + 2(2 + j) -10 + -2j = -6j + (2 * 2 + j * 2) -10 + -2j = -6j + (4 + 2j) Reorder the terms: -10 + -2j = 4 + -6j + 2j Combine like terms: -6j + 2j = -4j -10 + -2j = 4 + -4j Solving -10 + -2j = 4 + -4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '4j' to each side of the equation. -10 + -2j + 4j = 4 + -4j + 4j Combine like terms: -2j + 4j = 2j -10 + 2j = 4 + -4j + 4j Combine like terms: -4j + 4j = 0 -10 + 2j = 4 + 0 -10 + 2j = 4 Add '10' to each side of the equation. -10 + 10 + 2j = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 2j = 4 + 10 2j = 4 + 10 Combine like terms: 4 + 10 = 14 2j = 14 Divide each side by '2'. j = 7 Simplifying j = 7
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