6a-(3m-4a)=a+(m-5a)

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Solution for 6a-(3m-4a)=a+(m-5a) equation:


Simplifying
6a + -1(3m + -4a) = a + (m + -5a)

Reorder the terms:
6a + -1(-4a + 3m) = a + (m + -5a)
6a + (-4a * -1 + 3m * -1) = a + (m + -5a)
6a + (4a + -3m) = a + (m + -5a)

Combine like terms: 6a + 4a = 10a
10a + -3m = a + (m + -5a)

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

Remove parenthesis around (-5a + m)
10a + -3m = a + -5a + m

Combine like terms: a + -5a = -4a
10a + -3m = -4a + m

Solving
10a + -3m = -4a + m

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
10a + 4a + -3m = -4a + 4a + m

Combine like terms: 10a + 4a = 14a
14a + -3m = -4a + 4a + m

Combine like terms: -4a + 4a = 0
14a + -3m = 0 + m
14a + -3m = m

Add '3m' to each side of the equation.
14a + -3m + 3m = m + 3m

Combine like terms: -3m + 3m = 0
14a + 0 = m + 3m
14a = m + 3m

Combine like terms: m + 3m = 4m
14a = 4m

Divide each side by '14'.
a = 0.2857142857m

Simplifying
a = 0.2857142857m

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