-9M+13-8(M-5)=6M-(8M-3)-7M+2

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Solution for -9M+13-8(M-5)=6M-(8M-3)-7M+2 equation: 


Simplifying
-9M + 13 + -8(M + -5) = 6M + -1(8M + -3) + -7M + 2

Reorder the terms:
-9M + 13 + -8(-5 + M) = 6M + -1(8M + -3) + -7M + 2
-9M + 13 + (-5 * -8 + M * -8) = 6M + -1(8M + -3) + -7M + 2
-9M + 13 + (40 + -8M) = 6M + -1(8M + -3) + -7M + 2

Reorder the terms:
13 + 40 + -9M + -8M = 6M + -1(8M + -3) + -7M + 2

Combine like terms: 13 + 40 = 53
53 + -9M + -8M = 6M + -1(8M + -3) + -7M + 2

Combine like terms: -9M + -8M = -17M
53 + -17M = 6M + -1(8M + -3) + -7M + 2

Reorder the terms:
53 + -17M = 6M + -1(-3 + 8M) + -7M + 2
53 + -17M = 6M + (-3 * -1 + 8M * -1) + -7M + 2
53 + -17M = 6M + (3 + -8M) + -7M + 2

Reorder the terms:
53 + -17M = 3 + 2 + 6M + -8M + -7M

Combine like terms: 3 + 2 = 5
53 + -17M = 5 + 6M + -8M + -7M

Combine like terms: 6M + -8M = -2M
53 + -17M = 5 + -2M + -7M

Combine like terms: -2M + -7M = -9M
53 + -17M = 5 + -9M

Solving
53 + -17M = 5 + -9M

Solving for variable 'M'.

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

Add '9M' to each side of the equation.
53 + -17M + 9M = 5 + -9M + 9M

Combine like terms: -17M + 9M = -8M
53 + -8M = 5 + -9M + 9M

Combine like terms: -9M + 9M = 0
53 + -8M = 5 + 0
53 + -8M = 5

Add '-53' to each side of the equation.
53 + -53 + -8M = 5 + -53

Combine like terms: 53 + -53 = 0
0 + -8M = 5 + -53
-8M = 5 + -53

Combine like terms: 5 + -53 = -48
-8M = -48

Divide each side by '-8'.
M = 6

Simplifying
M = 6

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