2a-12+3a-5+2a-15=180

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Solution for 2a-12+3a-5+2a-15=180 equation:


Simplifying
2a + -12 + 3a + -5 + 2a + -15 = 180

Reorder the terms:
-12 + -5 + -15 + 2a + 3a + 2a = 180

Combine like terms: -12 + -5 = -17
-17 + -15 + 2a + 3a + 2a = 180

Combine like terms: -17 + -15 = -32
-32 + 2a + 3a + 2a = 180

Combine like terms: 2a + 3a = 5a
-32 + 5a + 2a = 180

Combine like terms: 5a + 2a = 7a
-32 + 7a = 180

Solving
-32 + 7a = 180

Solving for variable 'a'.

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

Add '32' to each side of the equation.
-32 + 32 + 7a = 180 + 32

Combine like terms: -32 + 32 = 0
0 + 7a = 180 + 32
7a = 180 + 32

Combine like terms: 180 + 32 = 212
7a = 212

Divide each side by '7'.
a = 30.28571429

Simplifying
a = 30.28571429

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