(3-m)+(7l-14)I=1+7i

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Solution for (3-m)+(7l-14)I=1+7i equation: 


Simplifying
(3 + -1m) + (7l + -14) * I = 1 + 7i

Remove parenthesis around (3 + -1m)
3 + -1m + (7l + -14) * I = 1 + 7i

Reorder the terms:
3 + -1m + (-14 + 7l) * I = 1 + 7i

Reorder the terms for easier multiplication:
3 + -1m + I(-14 + 7l) = 1 + 7i
3 + -1m + (-14 * I + 7l * I) = 1 + 7i
3 + -1m + (-14I + 7lI) = 1 + 7i

Reorder the terms:
3 + -14I + 7lI + -1m = 1 + 7i

Solving
3 + -14I + 7lI + -1m = 1 + 7i

Solving for variable 'I'.

Move all terms containing I to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -14I + 7lI + -3 + -1m = 1 + -3 + 7i

Reorder the terms:
3 + -3 + -14I + 7lI + -1m = 1 + -3 + 7i

Combine like terms: 3 + -3 = 0
0 + -14I + 7lI + -1m = 1 + -3 + 7i
-14I + 7lI + -1m = 1 + -3 + 7i

Combine like terms: 1 + -3 = -2
-14I + 7lI + -1m = -2 + 7i

Add 'm' to each side of the equation.
-14I + 7lI + -1m + m = -2 + 7i + m

Combine like terms: -1m + m = 0
-14I + 7lI + 0 = -2 + 7i + m
-14I + 7lI = -2 + 7i + m

Reorder the terms:
2 + -14I + -7i + 7lI + -1m = -2 + 7i + m + 2 + -7i + -1m

Reorder the terms:
2 + -14I + -7i + 7lI + -1m = -2 + 2 + 7i + -7i + m + -1m

Combine like terms: -2 + 2 = 0
2 + -14I + -7i + 7lI + -1m = 0 + 7i + -7i + m + -1m
2 + -14I + -7i + 7lI + -1m = 7i + -7i + m + -1m

Combine like terms: 7i + -7i = 0
2 + -14I + -7i + 7lI + -1m = 0 + m + -1m
2 + -14I + -7i + 7lI + -1m = m + -1m

Combine like terms: m + -1m = 0
2 + -14I + -7i + 7lI + -1m = 0

The solution to this equation could not be determined.

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