6(4m+5n-9)+92=

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Solution for 6(4m+5n-9)+92= equation:


Simplifying
6(4m + 5n + -9) + 92 = 0

Reorder the terms:
6(-9 + 4m + 5n) + 92 = 0
(-9 * 6 + 4m * 6 + 5n * 6) + 92 = 0
(-54 + 24m + 30n) + 92 = 0

Reorder the terms:
-54 + 92 + 24m + 30n = 0

Combine like terms: -54 + 92 = 38
38 + 24m + 30n = 0

Solving
38 + 24m + 30n = 0

Solving for variable 'm'.

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

Add '-38' to each side of the equation.
38 + 24m + -38 + 30n = 0 + -38

Reorder the terms:
38 + -38 + 24m + 30n = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 24m + 30n = 0 + -38
24m + 30n = 0 + -38

Combine like terms: 0 + -38 = -38
24m + 30n = -38

Add '-30n' to each side of the equation.
24m + 30n + -30n = -38 + -30n

Combine like terms: 30n + -30n = 0
24m + 0 = -38 + -30n
24m = -38 + -30n

Divide each side by '24'.
m = -1.583333333 + -1.25n

Simplifying
m = -1.583333333 + -1.25n

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