a(x-2)-6+r=4(x-2)-4

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


Simplifying
a(x + -2) + -6 + r = 4(x + -2) + -4

Reorder the terms:
a(-2 + x) + -6 + r = 4(x + -2) + -4
(-2 * a + x * a) + -6 + r = 4(x + -2) + -4
(-2a + ax) + -6 + r = 4(x + -2) + -4

Reorder the terms:
-6 + -2a + ax + r = 4(x + -2) + -4

Reorder the terms:
-6 + -2a + ax + r = 4(-2 + x) + -4
-6 + -2a + ax + r = (-2 * 4 + x * 4) + -4
-6 + -2a + ax + r = (-8 + 4x) + -4

Reorder the terms:
-6 + -2a + ax + r = -8 + -4 + 4x

Combine like terms: -8 + -4 = -12
-6 + -2a + ax + r = -12 + 4x

Solving
-6 + -2a + ax + r = -12 + 4x

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + -2a + ax + 6 + r = -12 + 6 + 4x

Reorder the terms:
-6 + 6 + -2a + ax + r = -12 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + -2a + ax + r = -12 + 6 + 4x
-2a + ax + r = -12 + 6 + 4x

Combine like terms: -12 + 6 = -6
-2a + ax + r = -6 + 4x

Add '-1r' to each side of the equation.
-2a + ax + r + -1r = -6 + -1r + 4x

Combine like terms: r + -1r = 0
-2a + ax + 0 = -6 + -1r + 4x
-2a + ax = -6 + -1r + 4x

Reorder the terms:
6 + -2a + ax + r + -4x = -6 + -1r + 4x + 6 + r + -4x

Reorder the terms:
6 + -2a + ax + r + -4x = -6 + 6 + -1r + r + 4x + -4x

Combine like terms: -6 + 6 = 0
6 + -2a + ax + r + -4x = 0 + -1r + r + 4x + -4x
6 + -2a + ax + r + -4x = -1r + r + 4x + -4x

Combine like terms: -1r + r = 0
6 + -2a + ax + r + -4x = 0 + 4x + -4x
6 + -2a + ax + r + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -2a + ax + r + -4x = 0

The solution to this equation could not be determined.

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