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Simplifying j + 5 = 6j + -15 Reorder the terms: 5 + j = 6j + -15 Reorder the terms: 5 + j = -15 + 6j Solving 5 + j = -15 + 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. 5 + j + -6j = -15 + 6j + -6j Combine like terms: j + -6j = -5j 5 + -5j = -15 + 6j + -6j Combine like terms: 6j + -6j = 0 5 + -5j = -15 + 0 5 + -5j = -15 Add '-5' to each side of the equation. 5 + -5 + -5j = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -5j = -15 + -5 -5j = -15 + -5 Combine like terms: -15 + -5 = -20 -5j = -20 Divide each side by '-5'. j = 4 Simplifying j = 4
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