13a+7=3a-11

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Solution for 13a+7=3a-11 equation:


Simplifying
13a + 7 = 3a + -11

Reorder the terms:
7 + 13a = 3a + -11

Reorder the terms:
7 + 13a = -11 + 3a

Solving
7 + 13a = -11 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
7 + 13a + -3a = -11 + 3a + -3a

Combine like terms: 13a + -3a = 10a
7 + 10a = -11 + 3a + -3a

Combine like terms: 3a + -3a = 0
7 + 10a = -11 + 0
7 + 10a = -11

Add '-7' to each side of the equation.
7 + -7 + 10a = -11 + -7

Combine like terms: 7 + -7 = 0
0 + 10a = -11 + -7
10a = -11 + -7

Combine like terms: -11 + -7 = -18
10a = -18

Divide each side by '10'.
a = -1.8

Simplifying
a = -1.8

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