6m-5m+2m-9(5n-2)-3=

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Solution for 6m-5m+2m-9(5n-2)-3= equation:


Simplifying
6m + -5m + 2m + -9(5n + -2) + -3 = 0

Reorder the terms:
6m + -5m + 2m + -9(-2 + 5n) + -3 = 0
6m + -5m + 2m + (-2 * -9 + 5n * -9) + -3 = 0
6m + -5m + 2m + (18 + -45n) + -3 = 0

Reorder the terms:
18 + -3 + 6m + -5m + 2m + -45n = 0

Combine like terms: 18 + -3 = 15
15 + 6m + -5m + 2m + -45n = 0

Combine like terms: 6m + -5m = 1m
15 + 1m + 2m + -45n = 0

Combine like terms: 1m + 2m = 3m
15 + 3m + -45n = 0

Solving
15 + 3m + -45n = 0

Solving for variable 'm'.

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

Add '-15' to each side of the equation.
15 + 3m + -15 + -45n = 0 + -15

Reorder the terms:
15 + -15 + 3m + -45n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 3m + -45n = 0 + -15
3m + -45n = 0 + -15

Combine like terms: 0 + -15 = -15
3m + -45n = -15

Add '45n' to each side of the equation.
3m + -45n + 45n = -15 + 45n

Combine like terms: -45n + 45n = 0
3m + 0 = -15 + 45n
3m = -15 + 45n

Divide each side by '3'.
m = -5 + 15n

Simplifying
m = -5 + 15n

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