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

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


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

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

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

Combine like terms: -28 + 6 = -22
-22 + 7a = 4(a + -4)

Reorder the terms:
-22 + 7a = 4(-4 + a)
-22 + 7a = (-4 * 4 + a * 4)
-22 + 7a = (-16 + 4a)

Solving
-22 + 7a = -16 + 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.
-22 + 7a + -4a = -16 + 4a + -4a

Combine like terms: 7a + -4a = 3a
-22 + 3a = -16 + 4a + -4a

Combine like terms: 4a + -4a = 0
-22 + 3a = -16 + 0
-22 + 3a = -16

Add '22' to each side of the equation.
-22 + 22 + 3a = -16 + 22

Combine like terms: -22 + 22 = 0
0 + 3a = -16 + 22
3a = -16 + 22

Combine like terms: -16 + 22 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2

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