2(a-1)-5a=7

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


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

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

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

Solving
-2 + -3a = 7

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 + -3a = 7 + 2

Combine like terms: -2 + 2 = 0
0 + -3a = 7 + 2
-3a = 7 + 2

Combine like terms: 7 + 2 = 9
-3a = 9

Divide each side by '-3'.
a = -3

Simplifying
a = -3

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