14+2-3a-1=4a-7-6

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Solution for 14+2-3a-1=4a-7-6 equation:


Simplifying
14 + 2 + -3a + -1 = 4a + -7 + -6

Reorder the terms:
14 + 2 + -1 + -3a = 4a + -7 + -6

Combine like terms: 14 + 2 = 16
16 + -1 + -3a = 4a + -7 + -6

Combine like terms: 16 + -1 = 15
15 + -3a = 4a + -7 + -6

Reorder the terms:
15 + -3a = -7 + -6 + 4a

Combine like terms: -7 + -6 = -13
15 + -3a = -13 + 4a

Solving
15 + -3a = -13 + 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 + -3a + -4a = -13 + 4a + -4a

Combine like terms: -3a + -4a = -7a
15 + -7a = -13 + 4a + -4a

Combine like terms: 4a + -4a = 0
15 + -7a = -13 + 0
15 + -7a = -13

Add '-15' to each side of the equation.
15 + -15 + -7a = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -7a = -13 + -15
-7a = -13 + -15

Combine like terms: -13 + -15 = -28
-7a = -28

Divide each side by '-7'.
a = 4

Simplifying
a = 4

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