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Simplifying 15(j + -10) = 12.5(25 + j) Reorder the terms: 15(-10 + j) = 12.5(25 + j) (-10 * 15 + j * 15) = 12.5(25 + j) (-150 + 15j) = 12.5(25 + j) -150 + 15j = (25 * 12.5 + j * 12.5) -150 + 15j = (312.5 + 12.5j) Solving -150 + 15j = 312.5 + 12.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12.5j' to each side of the equation. -150 + 15j + -12.5j = 312.5 + 12.5j + -12.5j Combine like terms: 15j + -12.5j = 2.5j -150 + 2.5j = 312.5 + 12.5j + -12.5j Combine like terms: 12.5j + -12.5j = 0.0 -150 + 2.5j = 312.5 + 0.0 -150 + 2.5j = 312.5 Add '150' to each side of the equation. -150 + 150 + 2.5j = 312.5 + 150 Combine like terms: -150 + 150 = 0 0 + 2.5j = 312.5 + 150 2.5j = 312.5 + 150 Combine like terms: 312.5 + 150 = 462.5 2.5j = 462.5 Divide each side by '2.5'. j = 185 Simplifying j = 185
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