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Simplifying (3 + -1m) + (7l + -14) = 1 + 7i Remove parenthesis around (3 + -1m) 3 + -1m + (7l + -14) = 1 + 7i Reorder the terms: 3 + -1m + (-14 + 7l) = 1 + 7i Remove parenthesis around (-14 + 7l) 3 + -1m + -14 + 7l = 1 + 7i Reorder the terms: 3 + -14 + 7l + -1m = 1 + 7i Combine like terms: 3 + -14 = -11 -11 + 7l + -1m = 1 + 7i Solving -11 + 7l + -1m = 1 + 7i Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 7l + 11 + -1m = 1 + 11 + 7i Reorder the terms: -11 + 11 + 7l + -1m = 1 + 11 + 7i Combine like terms: -11 + 11 = 0 0 + 7l + -1m = 1 + 11 + 7i 7l + -1m = 1 + 11 + 7i Combine like terms: 1 + 11 = 12 7l + -1m = 12 + 7i Add 'm' to each side of the equation. 7l + -1m + m = 12 + 7i + m Combine like terms: -1m + m = 0 7l + 0 = 12 + 7i + m 7l = 12 + 7i + m Divide each side by '7'. l = 1.714285714 + i + 0.1428571429m Simplifying l = 1.714285714 + i + 0.1428571429m
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