7(2a-5)+12=8a+1

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Solution for 7(2a-5)+12=8a+1 equation:


Simplifying
7(2a + -5) + 12 = 8a + 1

Reorder the terms:
7(-5 + 2a) + 12 = 8a + 1
(-5 * 7 + 2a * 7) + 12 = 8a + 1
(-35 + 14a) + 12 = 8a + 1

Reorder the terms:
-35 + 12 + 14a = 8a + 1

Combine like terms: -35 + 12 = -23
-23 + 14a = 8a + 1

Reorder the terms:
-23 + 14a = 1 + 8a

Solving
-23 + 14a = 1 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-23 + 14a + -8a = 1 + 8a + -8a

Combine like terms: 14a + -8a = 6a
-23 + 6a = 1 + 8a + -8a

Combine like terms: 8a + -8a = 0
-23 + 6a = 1 + 0
-23 + 6a = 1

Add '23' to each side of the equation.
-23 + 23 + 6a = 1 + 23

Combine like terms: -23 + 23 = 0
0 + 6a = 1 + 23
6a = 1 + 23

Combine like terms: 1 + 23 = 24
6a = 24

Divide each side by '6'.
a = 4

Simplifying
a = 4

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