2a+1=-a+7

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Solution for 2a+1=-a+7 equation:


Simplifying
2a + 1 = -1a + 7

Reorder the terms:
1 + 2a = -1a + 7

Reorder the terms:
1 + 2a = 7 + -1a

Solving
1 + 2a = 7 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
1 + 2a + a = 7 + -1a + a

Combine like terms: 2a + a = 3a
1 + 3a = 7 + -1a + a

Combine like terms: -1a + a = 0
1 + 3a = 7 + 0
1 + 3a = 7

Add '-1' to each side of the equation.
1 + -1 + 3a = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 3a = 7 + -1
3a = 7 + -1

Combine like terms: 7 + -1 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2

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