7(a-4)+6=2(a-6)

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Solution for 7(a-4)+6=2(a-6) equation:


Simplifying
7(a + -4) + 6 = 2(a + -6)

Reorder the terms:
7(-4 + a) + 6 = 2(a + -6)
(-4 * 7 + a * 7) + 6 = 2(a + -6)
(-28 + 7a) + 6 = 2(a + -6)

Reorder the terms:
-28 + 6 + 7a = 2(a + -6)

Combine like terms: -28 + 6 = -22
-22 + 7a = 2(a + -6)

Reorder the terms:
-22 + 7a = 2(-6 + a)
-22 + 7a = (-6 * 2 + a * 2)
-22 + 7a = (-12 + 2a)

Solving
-22 + 7a = -12 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-22 + 7a + -2a = -12 + 2a + -2a

Combine like terms: 7a + -2a = 5a
-22 + 5a = -12 + 2a + -2a

Combine like terms: 2a + -2a = 0
-22 + 5a = -12 + 0
-22 + 5a = -12

Add '22' to each side of the equation.
-22 + 22 + 5a = -12 + 22

Combine like terms: -22 + 22 = 0
0 + 5a = -12 + 22
5a = -12 + 22

Combine like terms: -12 + 22 = 10
5a = 10

Divide each side by '5'.
a = 2

Simplifying
a = 2

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