7a+15=4a-10-8a+14

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Solution for 7a+15=4a-10-8a+14 equation: 


Simplifying
7a + 15 = 4a + -10 + -8a + 14

Reorder the terms:
15 + 7a = 4a + -10 + -8a + 14

Reorder the terms:
15 + 7a = -10 + 14 + 4a + -8a

Combine like terms: -10 + 14 = 4
15 + 7a = 4 + 4a + -8a

Combine like terms: 4a + -8a = -4a
15 + 7a = 4 + -4a

Solving
15 + 7a = 4 + -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 = 4 + -4a + 4a

Combine like terms: 7a + 4a = 11a
15 + 11a = 4 + -4a + 4a

Combine like terms: -4a + 4a = 0
15 + 11a = 4 + 0
15 + 11a = 4

Add '-15' to each side of the equation.
15 + -15 + 11a = 4 + -15

Combine like terms: 15 + -15 = 0
0 + 11a = 4 + -15
11a = 4 + -15

Combine like terms: 4 + -15 = -11
11a = -11

Divide each side by '11'.
a = -1

Simplifying
a = -1

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