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Simplifying 15(j + -3) + -3j = 45 Reorder the terms: 15(-3 + j) + -3j = 45 (-3 * 15 + j * 15) + -3j = 45 (-45 + 15j) + -3j = 45 Combine like terms: 15j + -3j = 12j -45 + 12j = 45 Solving -45 + 12j = 45 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 12j = 45 + 45 Combine like terms: -45 + 45 = 0 0 + 12j = 45 + 45 12j = 45 + 45 Combine like terms: 45 + 45 = 90 12j = 90 Divide each side by '12'. j = 7.5 Simplifying j = 7.5
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