7a+15=4a+38

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Solution for 7a+15=4a+38 equation:


Simplifying
7a + 15 = 4a + 38

Reorder the terms:
15 + 7a = 4a + 38

Reorder the terms:
15 + 7a = 38 + 4a

Solving
15 + 7a = 38 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
15 + 7a + -4a = 38 + 4a + -4a

Combine like terms: 7a + -4a = 3a
15 + 3a = 38 + 4a + -4a

Combine like terms: 4a + -4a = 0
15 + 3a = 38 + 0
15 + 3a = 38

Add '-15' to each side of the equation.
15 + -15 + 3a = 38 + -15

Combine like terms: 15 + -15 = 0
0 + 3a = 38 + -15
3a = 38 + -15

Combine like terms: 38 + -15 = 23
3a = 23

Divide each side by '3'.
a = 7.666666667

Simplifying
a = 7.666666667

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