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Simplifying 40 = 10(j + -92) Reorder the terms: 40 = 10(-92 + j) 40 = (-92 * 10 + j * 10) 40 = (-920 + 10j) Solving 40 = -920 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. 40 + -10j = -920 + 10j + -10j Combine like terms: 10j + -10j = 0 40 + -10j = -920 + 0 40 + -10j = -920 Add '-40' to each side of the equation. 40 + -40 + -10j = -920 + -40 Combine like terms: 40 + -40 = 0 0 + -10j = -920 + -40 -10j = -920 + -40 Combine like terms: -920 + -40 = -960 -10j = -960 Divide each side by '-10'. j = 96 Simplifying j = 96
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