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Simplifying (4j + -1) * 4 = (2j + 1) * 2 + (j + 2) * 2 Reorder the terms: (-1 + 4j) * 4 = (2j + 1) * 2 + (j + 2) * 2 Reorder the terms for easier multiplication: 4(-1 + 4j) = (2j + 1) * 2 + (j + 2) * 2 (-1 * 4 + 4j * 4) = (2j + 1) * 2 + (j + 2) * 2 (-4 + 16j) = (2j + 1) * 2 + (j + 2) * 2 Reorder the terms: -4 + 16j = (1 + 2j) * 2 + (j + 2) * 2 Reorder the terms for easier multiplication: -4 + 16j = 2(1 + 2j) + (j + 2) * 2 -4 + 16j = (1 * 2 + 2j * 2) + (j + 2) * 2 -4 + 16j = (2 + 4j) + (j + 2) * 2 Reorder the terms: -4 + 16j = 2 + 4j + (2 + j) * 2 Reorder the terms for easier multiplication: -4 + 16j = 2 + 4j + 2(2 + j) -4 + 16j = 2 + 4j + (2 * 2 + j * 2) -4 + 16j = 2 + 4j + (4 + 2j) Reorder the terms: -4 + 16j = 2 + 4 + 4j + 2j Combine like terms: 2 + 4 = 6 -4 + 16j = 6 + 4j + 2j Combine like terms: 4j + 2j = 6j -4 + 16j = 6 + 6j Solving -4 + 16j = 6 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. -4 + 16j + -6j = 6 + 6j + -6j Combine like terms: 16j + -6j = 10j -4 + 10j = 6 + 6j + -6j Combine like terms: 6j + -6j = 0 -4 + 10j = 6 + 0 -4 + 10j = 6 Add '4' to each side of the equation. -4 + 4 + 10j = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10j = 6 + 4 10j = 6 + 4 Combine like terms: 6 + 4 = 10 10j = 10 Divide each side by '10'. j = 1 Simplifying j = 1
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