6a+12-3=5a+4a-15

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Solution for 6a+12-3=5a+4a-15 equation:


Simplifying
6a + 12 + -3 = 5a + 4a + -15

Reorder the terms:
12 + -3 + 6a = 5a + 4a + -15

Combine like terms: 12 + -3 = 9
9 + 6a = 5a + 4a + -15

Reorder the terms:
9 + 6a = -15 + 5a + 4a

Combine like terms: 5a + 4a = 9a
9 + 6a = -15 + 9a

Solving
9 + 6a = -15 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
9 + 6a + -9a = -15 + 9a + -9a

Combine like terms: 6a + -9a = -3a
9 + -3a = -15 + 9a + -9a

Combine like terms: 9a + -9a = 0
9 + -3a = -15 + 0
9 + -3a = -15

Add '-9' to each side of the equation.
9 + -9 + -3a = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -3a = -15 + -9
-3a = -15 + -9

Combine like terms: -15 + -9 = -24
-3a = -24

Divide each side by '-3'.
a = 8

Simplifying
a = 8

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