4(m-3)+5(m+2)=m+9

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Solution for 4(m-3)+5(m+2)=m+9 equation:


Simplifying
4(m + -3) + 5(m + 2) = m + 9

Reorder the terms:
4(-3 + m) + 5(m + 2) = m + 9
(-3 * 4 + m * 4) + 5(m + 2) = m + 9
(-12 + 4m) + 5(m + 2) = m + 9

Reorder the terms:
-12 + 4m + 5(2 + m) = m + 9
-12 + 4m + (2 * 5 + m * 5) = m + 9
-12 + 4m + (10 + 5m) = m + 9

Reorder the terms:
-12 + 10 + 4m + 5m = m + 9

Combine like terms: -12 + 10 = -2
-2 + 4m + 5m = m + 9

Combine like terms: 4m + 5m = 9m
-2 + 9m = m + 9

Reorder the terms:
-2 + 9m = 9 + m

Solving
-2 + 9m = 9 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-2 + 9m + -1m = 9 + m + -1m

Combine like terms: 9m + -1m = 8m
-2 + 8m = 9 + m + -1m

Combine like terms: m + -1m = 0
-2 + 8m = 9 + 0
-2 + 8m = 9

Add '2' to each side of the equation.
-2 + 2 + 8m = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 8m = 9 + 2
8m = 9 + 2

Combine like terms: 9 + 2 = 11
8m = 11

Divide each side by '8'.
m = 1.375

Simplifying
m = 1.375

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