(6a+10)=13a+55

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Solution for (6a+10)=13a+55 equation:


Simplifying
(6a + 10) = 13a + 55

Reorder the terms:
(10 + 6a) = 13a + 55

Remove parenthesis around (10 + 6a)
10 + 6a = 13a + 55

Reorder the terms:
10 + 6a = 55 + 13a

Solving
10 + 6a = 55 + 13a

Solving for variable 'a'.

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

Add '-13a' to each side of the equation.
10 + 6a + -13a = 55 + 13a + -13a

Combine like terms: 6a + -13a = -7a
10 + -7a = 55 + 13a + -13a

Combine like terms: 13a + -13a = 0
10 + -7a = 55 + 0
10 + -7a = 55

Add '-10' to each side of the equation.
10 + -10 + -7a = 55 + -10

Combine like terms: 10 + -10 = 0
0 + -7a = 55 + -10
-7a = 55 + -10

Combine like terms: 55 + -10 = 45
-7a = 45

Divide each side by '-7'.
a = -6.428571429

Simplifying
a = -6.428571429

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