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Simplifying 5j + 1 = 10j + -29 Reorder the terms: 1 + 5j = 10j + -29 Reorder the terms: 1 + 5j = -29 + 10j Solving 1 + 5j = -29 + 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. 1 + 5j + -10j = -29 + 10j + -10j Combine like terms: 5j + -10j = -5j 1 + -5j = -29 + 10j + -10j Combine like terms: 10j + -10j = 0 1 + -5j = -29 + 0 1 + -5j = -29 Add '-1' to each side of the equation. 1 + -1 + -5j = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -5j = -29 + -1 -5j = -29 + -1 Combine like terms: -29 + -1 = -30 -5j = -30 Divide each side by '-5'. j = 6 Simplifying j = 6
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