f(5a)+3=f(3a)+11

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Solution for f(5a)+3=f(3a)+11 equation:


Simplifying
f(5a) + 3 = f(3a) + 11

Remove parenthesis around (5a)
f * 5a + 3 = f(3a) + 11

Reorder the terms for easier multiplication:
5f * a + 3 = f(3a) + 11

Multiply f * a
5af + 3 = f(3a) + 11

Reorder the terms:
3 + 5af = f(3a) + 11

Remove parenthesis around (3a)
3 + 5af = f * 3a + 11

Reorder the terms for easier multiplication:
3 + 5af = 3f * a + 11

Multiply f * a
3 + 5af = 3af + 11

Reorder the terms:
3 + 5af = 11 + 3af

Solving
3 + 5af = 11 + 3af

Solving for variable 'a'.

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

Add '-3af' to each side of the equation.
3 + 5af + -3af = 11 + 3af + -3af

Combine like terms: 5af + -3af = 2af
3 + 2af = 11 + 3af + -3af

Combine like terms: 3af + -3af = 0
3 + 2af = 11 + 0
3 + 2af = 11

Add '-3' to each side of the equation.
3 + -3 + 2af = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 2af = 11 + -3
2af = 11 + -3

Combine like terms: 11 + -3 = 8
2af = 8

Divide each side by '2f'.
a = 4f-1

Simplifying
a = 4f-1

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