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Simplifying 12j = 15(j + -8) Reorder the terms: 12j = 15(-8 + j) 12j = (-8 * 15 + j * 15) 12j = (-120 + 15j) Solving 12j = -120 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. 12j + -15j = -120 + 15j + -15j Combine like terms: 12j + -15j = -3j -3j = -120 + 15j + -15j Combine like terms: 15j + -15j = 0 -3j = -120 + 0 -3j = -120 Divide each side by '-3'. j = 40 Simplifying j = 40
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