2m+5(m-6)=3m+1

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Solution for 2m+5(m-6)=3m+1 equation:


Simplifying
2m + 5(m + -6) = 3m + 1

Reorder the terms:
2m + 5(-6 + m) = 3m + 1
2m + (-6 * 5 + m * 5) = 3m + 1
2m + (-30 + 5m) = 3m + 1

Reorder the terms:
-30 + 2m + 5m = 3m + 1

Combine like terms: 2m + 5m = 7m
-30 + 7m = 3m + 1

Reorder the terms:
-30 + 7m = 1 + 3m

Solving
-30 + 7m = 1 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-30 + 7m + -3m = 1 + 3m + -3m

Combine like terms: 7m + -3m = 4m
-30 + 4m = 1 + 3m + -3m

Combine like terms: 3m + -3m = 0
-30 + 4m = 1 + 0
-30 + 4m = 1

Add '30' to each side of the equation.
-30 + 30 + 4m = 1 + 30

Combine like terms: -30 + 30 = 0
0 + 4m = 1 + 30
4m = 1 + 30

Combine like terms: 1 + 30 = 31
4m = 31

Divide each side by '4'.
m = 7.75

Simplifying
m = 7.75

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