3a+36=10a-40

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Solution for 3a+36=10a-40 equation:


Simplifying
3a + 36 = 10a + -40

Reorder the terms:
36 + 3a = 10a + -40

Reorder the terms:
36 + 3a = -40 + 10a

Solving
36 + 3a = -40 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
36 + 3a + -10a = -40 + 10a + -10a

Combine like terms: 3a + -10a = -7a
36 + -7a = -40 + 10a + -10a

Combine like terms: 10a + -10a = 0
36 + -7a = -40 + 0
36 + -7a = -40

Add '-36' to each side of the equation.
36 + -36 + -7a = -40 + -36

Combine like terms: 36 + -36 = 0
0 + -7a = -40 + -36
-7a = -40 + -36

Combine like terms: -40 + -36 = -76
-7a = -76

Divide each side by '-7'.
a = 10.85714286

Simplifying
a = 10.85714286

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