5(a-7)+6=(a-7)

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Solution for 5(a-7)+6=(a-7) equation:


Simplifying
5(a + -7) + 6 = (a + -7)

Reorder the terms:
5(-7 + a) + 6 = (a + -7)
(-7 * 5 + a * 5) + 6 = (a + -7)
(-35 + 5a) + 6 = (a + -7)

Reorder the terms:
-35 + 6 + 5a = (a + -7)

Combine like terms: -35 + 6 = -29
-29 + 5a = (a + -7)

Reorder the terms:
-29 + 5a = (-7 + a)

Remove parenthesis around (-7 + a)
-29 + 5a = -7 + a

Solving
-29 + 5a = -7 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-29 + 5a + -1a = -7 + a + -1a

Combine like terms: 5a + -1a = 4a
-29 + 4a = -7 + a + -1a

Combine like terms: a + -1a = 0
-29 + 4a = -7 + 0
-29 + 4a = -7

Add '29' to each side of the equation.
-29 + 29 + 4a = -7 + 29

Combine like terms: -29 + 29 = 0
0 + 4a = -7 + 29
4a = -7 + 29

Combine like terms: -7 + 29 = 22
4a = 22

Divide each side by '4'.
a = 5.5

Simplifying
a = 5.5

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