2m+(3n+1)=6i-8i

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Solution for 2m+(3n+1)=6i-8i equation:


Simplifying
2m + (3n + 1) = 6i + -8i

Reorder the terms:
2m + (1 + 3n) = 6i + -8i

Remove parenthesis around (1 + 3n)
2m + 1 + 3n = 6i + -8i

Reorder the terms:
1 + 2m + 3n = 6i + -8i

Combine like terms: 6i + -8i = -2i
1 + 2m + 3n = -2i

Solving
1 + 2m + 3n = -2i

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + 2m + -1 + 3n = -1 + -2i

Reorder the terms:
1 + -1 + 2m + 3n = -1 + -2i

Combine like terms: 1 + -1 = 0
0 + 2m + 3n = -1 + -2i
2m + 3n = -1 + -2i

Add '-3n' to each side of the equation.
2m + 3n + -3n = -1 + -2i + -3n

Combine like terms: 3n + -3n = 0
2m + 0 = -1 + -2i + -3n
2m = -1 + -2i + -3n

Divide each side by '2'.
m = -0.5 + -1i + -1.5n

Simplifying
m = -0.5 + -1i + -1.5n

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