7(a-6)+6=3(a-4)

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Solution for 7(a-6)+6=3(a-4) equation:


Simplifying
7(a + -6) + 6 = 3(a + -4)

Reorder the terms:
7(-6 + a) + 6 = 3(a + -4)
(-6 * 7 + a * 7) + 6 = 3(a + -4)
(-42 + 7a) + 6 = 3(a + -4)

Reorder the terms:
-42 + 6 + 7a = 3(a + -4)

Combine like terms: -42 + 6 = -36
-36 + 7a = 3(a + -4)

Reorder the terms:
-36 + 7a = 3(-4 + a)
-36 + 7a = (-4 * 3 + a * 3)
-36 + 7a = (-12 + 3a)

Solving
-36 + 7a = -12 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-36 + 7a + -3a = -12 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-36 + 4a = -12 + 3a + -3a

Combine like terms: 3a + -3a = 0
-36 + 4a = -12 + 0
-36 + 4a = -12

Add '36' to each side of the equation.
-36 + 36 + 4a = -12 + 36

Combine like terms: -36 + 36 = 0
0 + 4a = -12 + 36
4a = -12 + 36

Combine like terms: -12 + 36 = 24
4a = 24

Divide each side by '4'.
a = 6

Simplifying
a = 6

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