10(m-3)+6=3m+9

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Solution for 10(m-3)+6=3m+9 equation:


Simplifying
10(m + -3) + 6 = 3m + 9

Reorder the terms:
10(-3 + m) + 6 = 3m + 9
(-3 * 10 + m * 10) + 6 = 3m + 9
(-30 + 10m) + 6 = 3m + 9

Reorder the terms:
-30 + 6 + 10m = 3m + 9

Combine like terms: -30 + 6 = -24
-24 + 10m = 3m + 9

Reorder the terms:
-24 + 10m = 9 + 3m

Solving
-24 + 10m = 9 + 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.
-24 + 10m + -3m = 9 + 3m + -3m

Combine like terms: 10m + -3m = 7m
-24 + 7m = 9 + 3m + -3m

Combine like terms: 3m + -3m = 0
-24 + 7m = 9 + 0
-24 + 7m = 9

Add '24' to each side of the equation.
-24 + 24 + 7m = 9 + 24

Combine like terms: -24 + 24 = 0
0 + 7m = 9 + 24
7m = 9 + 24

Combine like terms: 9 + 24 = 33
7m = 33

Divide each side by '7'.
m = 4.714285714

Simplifying
m = 4.714285714

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