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Simplifying 10(i + -4) + 7 = 467 Reorder the terms: 10(-4 + i) + 7 = 467 (-4 * 10 + i * 10) + 7 = 467 (-40 + 10i) + 7 = 467 Reorder the terms: -40 + 7 + 10i = 467 Combine like terms: -40 + 7 = -33 -33 + 10i = 467 Solving -33 + 10i = 467 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 10i = 467 + 33 Combine like terms: -33 + 33 = 0 0 + 10i = 467 + 33 10i = 467 + 33 Combine like terms: 467 + 33 = 500 10i = 500 Divide each side by '10'. i = 50 Simplifying i = 50
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