3a+5(a-1)+7=2c

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Solution for 3a+5(a-1)+7=2c equation:


Simplifying
3a + 5(a + -1) + 7 = 2c

Reorder the terms:
3a + 5(-1 + a) + 7 = 2c
3a + (-1 * 5 + a * 5) + 7 = 2c
3a + (-5 + 5a) + 7 = 2c

Reorder the terms:
-5 + 7 + 3a + 5a = 2c

Combine like terms: -5 + 7 = 2
2 + 3a + 5a = 2c

Combine like terms: 3a + 5a = 8a
2 + 8a = 2c

Solving
2 + 8a = 2c

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + 8a = -2 + 2c

Combine like terms: 2 + -2 = 0
0 + 8a = -2 + 2c
8a = -2 + 2c

Divide each side by '8'.
a = -0.25 + 0.25c

Simplifying
a = -0.25 + 0.25c

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