5m(m-2a-1)-5m^2+2a(5m+3)=10

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Solution for 5m(m-2a-1)-5m^2+2a(5m+3)=10 equation: 


Simplifying
5m(m + -2a + -1) + -5m2 + 2a(5m + 3) = 10

Reorder the terms:
5m(-1 + -2a + m) + -5m2 + 2a(5m + 3) = 10
(-1 * 5m + -2a * 5m + m * 5m) + -5m2 + 2a(5m + 3) = 10

Reorder the terms:
(-10am + -5m + 5m2) + -5m2 + 2a(5m + 3) = 10
(-10am + -5m + 5m2) + -5m2 + 2a(5m + 3) = 10

Reorder the terms:
-10am + -5m + 5m2 + -5m2 + 2a(3 + 5m) = 10
-10am + -5m + 5m2 + -5m2 + (3 * 2a + 5m * 2a) = 10
-10am + -5m + 5m2 + -5m2 + (6a + 10am) = 10

Reorder the terms:
6a + -10am + 10am + -5m + 5m2 + -5m2 = 10

Combine like terms: -10am + 10am = 0
6a + 0 + -5m + 5m2 + -5m2 = 10
6a + -5m + 5m2 + -5m2 = 10

Combine like terms: 5m2 + -5m2 = 0
6a + -5m + 0 = 10
6a + -5m = 10

Solving
6a + -5m = 10

Solving for variable 'a'.

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

Add '5m' to each side of the equation.
6a + -5m + 5m = 10 + 5m

Combine like terms: -5m + 5m = 0
6a + 0 = 10 + 5m
6a = 10 + 5m

Divide each side by '6'.
a = 1.666666667 + 0.8333333333m

Simplifying
a = 1.666666667 + 0.8333333333m

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