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Simplifying 6(i + -2) + -76 = 142 Reorder the terms: 6(-2 + i) + -76 = 142 (-2 * 6 + i * 6) + -76 = 142 (-12 + 6i) + -76 = 142 Reorder the terms: -12 + -76 + 6i = 142 Combine like terms: -12 + -76 = -88 -88 + 6i = 142 Solving -88 + 6i = 142 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 6i = 142 + 88 Combine like terms: -88 + 88 = 0 0 + 6i = 142 + 88 6i = 142 + 88 Combine like terms: 142 + 88 = 230 6i = 230 Divide each side by '6'. i = 38.33333333 Simplifying i = 38.33333333
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