3(1+4a)-2(5a-3)=25

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Solution for 3(1+4a)-2(5a-3)=25 equation: 


Simplifying
3(1 + 4a) + -2(5a + -3) = 25
(1 * 3 + 4a * 3) + -2(5a + -3) = 25
(3 + 12a) + -2(5a + -3) = 25

Reorder the terms:
3 + 12a + -2(-3 + 5a) = 25
3 + 12a + (-3 * -2 + 5a * -2) = 25
3 + 12a + (6 + -10a) = 25

Reorder the terms:
3 + 6 + 12a + -10a = 25

Combine like terms: 3 + 6 = 9
9 + 12a + -10a = 25

Combine like terms: 12a + -10a = 2a
9 + 2a = 25

Solving
9 + 2a = 25

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -9 + 2a = 25 + -9

Combine like terms: 9 + -9 = 0
0 + 2a = 25 + -9
2a = 25 + -9

Combine like terms: 25 + -9 = 16
2a = 16

Divide each side by '2'.
a = 8

Simplifying
a = 8

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