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Simplifying (4 + m) + 2i = a + 14i Remove parenthesis around (4 + m) 4 + m + 2i = a + 14i Reorder the terms: 4 + 2i + m = a + 14i Solving 4 + 2i + m = a + 14i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14i' to each side of the equation. 4 + 2i + -14i + m = a + 14i + -14i Combine like terms: 2i + -14i = -12i 4 + -12i + m = a + 14i + -14i Combine like terms: 14i + -14i = 0 4 + -12i + m = a + 0 4 + -12i + m = a Add '-4' to each side of the equation. 4 + -12i + -4 + m = -4 + a Reorder the terms: 4 + -4 + -12i + m = -4 + a Combine like terms: 4 + -4 = 0 0 + -12i + m = -4 + a -12i + m = -4 + a Add '-1m' to each side of the equation. -12i + m + -1m = -4 + a + -1m Combine like terms: m + -1m = 0 -12i + 0 = -4 + a + -1m -12i = -4 + a + -1m Divide each side by '-12'. i = 0.3333333333 + -0.08333333333a + 0.08333333333m Simplifying i = 0.3333333333 + -0.08333333333a + 0.08333333333m
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