6(6a-3)=5(7a+1)

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Solution for 6(6a-3)=5(7a+1) equation:


Simplifying
6(6a + -3) = 5(7a + 1)

Reorder the terms:
6(-3 + 6a) = 5(7a + 1)
(-3 * 6 + 6a * 6) = 5(7a + 1)
(-18 + 36a) = 5(7a + 1)

Reorder the terms:
-18 + 36a = 5(1 + 7a)
-18 + 36a = (1 * 5 + 7a * 5)
-18 + 36a = (5 + 35a)

Solving
-18 + 36a = 5 + 35a

Solving for variable 'a'.

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

Add '-35a' to each side of the equation.
-18 + 36a + -35a = 5 + 35a + -35a

Combine like terms: 36a + -35a = 1a
-18 + 1a = 5 + 35a + -35a

Combine like terms: 35a + -35a = 0
-18 + 1a = 5 + 0
-18 + 1a = 5

Add '18' to each side of the equation.
-18 + 18 + 1a = 5 + 18

Combine like terms: -18 + 18 = 0
0 + 1a = 5 + 18
1a = 5 + 18

Combine like terms: 5 + 18 = 23
1a = 23

Divide each side by '1'.
a = 23

Simplifying
a = 23

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