6a+4a+13=3+8a+2

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Solution for 6a+4a+13=3+8a+2 equation:


Simplifying
6a + 4a + 13 = 3 + 8a + 2

Reorder the terms:
13 + 6a + 4a = 3 + 8a + 2

Combine like terms: 6a + 4a = 10a
13 + 10a = 3 + 8a + 2

Reorder the terms:
13 + 10a = 3 + 2 + 8a

Combine like terms: 3 + 2 = 5
13 + 10a = 5 + 8a

Solving
13 + 10a = 5 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
13 + 10a + -8a = 5 + 8a + -8a

Combine like terms: 10a + -8a = 2a
13 + 2a = 5 + 8a + -8a

Combine like terms: 8a + -8a = 0
13 + 2a = 5 + 0
13 + 2a = 5

Add '-13' to each side of the equation.
13 + -13 + 2a = 5 + -13

Combine like terms: 13 + -13 = 0
0 + 2a = 5 + -13
2a = 5 + -13

Combine like terms: 5 + -13 = -8
2a = -8

Divide each side by '2'.
a = -4

Simplifying
a = -4

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