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Simplifying 7r + -1i + 8r = -2 + -7r + -8 Reorder the terms: -1i + 7r + 8r = -2 + -7r + -8 Combine like terms: 7r + 8r = 15r -1i + 15r = -2 + -7r + -8 Reorder the terms: -1i + 15r = -2 + -8 + -7r Combine like terms: -2 + -8 = -10 -1i + 15r = -10 + -7r Solving -1i + 15r = -10 + -7r Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15r' to each side of the equation. -1i + 15r + -15r = -10 + -7r + -15r Combine like terms: 15r + -15r = 0 -1i + 0 = -10 + -7r + -15r -1i = -10 + -7r + -15r Combine like terms: -7r + -15r = -22r -1i = -10 + -22r Divide each side by '-1'. i = 10 + 22r Simplifying i = 10 + 22r
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