4(a-6)+10=2(a-6)

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Solution for 4(a-6)+10=2(a-6) equation:


Simplifying
4(a + -6) + 10 = 2(a + -6)

Reorder the terms:
4(-6 + a) + 10 = 2(a + -6)
(-6 * 4 + a * 4) + 10 = 2(a + -6)
(-24 + 4a) + 10 = 2(a + -6)

Reorder the terms:
-24 + 10 + 4a = 2(a + -6)

Combine like terms: -24 + 10 = -14
-14 + 4a = 2(a + -6)

Reorder the terms:
-14 + 4a = 2(-6 + a)
-14 + 4a = (-6 * 2 + a * 2)
-14 + 4a = (-12 + 2a)

Solving
-14 + 4a = -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.
-14 + 4a + -2a = -12 + 2a + -2a

Combine like terms: 4a + -2a = 2a
-14 + 2a = -12 + 2a + -2a

Combine like terms: 2a + -2a = 0
-14 + 2a = -12 + 0
-14 + 2a = -12

Add '14' to each side of the equation.
-14 + 14 + 2a = -12 + 14

Combine like terms: -14 + 14 = 0
0 + 2a = -12 + 14
2a = -12 + 14

Combine like terms: -12 + 14 = 2
2a = 2

Divide each side by '2'.
a = 1

Simplifying
a = 1

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