7a+1=2a-3

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Solution for 7a+1=2a-3 equation:


Simplifying
7a + 1 = 2a + -3

Reorder the terms:
1 + 7a = 2a + -3

Reorder the terms:
1 + 7a = -3 + 2a

Solving
1 + 7a = -3 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
1 + 7a + -2a = -3 + 2a + -2a

Combine like terms: 7a + -2a = 5a
1 + 5a = -3 + 2a + -2a

Combine like terms: 2a + -2a = 0
1 + 5a = -3 + 0
1 + 5a = -3

Add '-1' to each side of the equation.
1 + -1 + 5a = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 5a = -3 + -1
5a = -3 + -1

Combine like terms: -3 + -1 = -4
5a = -4

Divide each side by '5'.
a = -0.8

Simplifying
a = -0.8

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