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

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


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

Reorder the terms:
4(-2 + a) = 2(a + 7)
(-2 * 4 + a * 4) = 2(a + 7)
(-8 + 4a) = 2(a + 7)

Reorder the terms:
-8 + 4a = 2(7 + a)
-8 + 4a = (7 * 2 + a * 2)
-8 + 4a = (14 + 2a)

Solving
-8 + 4a = 14 + 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.
-8 + 4a + -2a = 14 + 2a + -2a

Combine like terms: 4a + -2a = 2a
-8 + 2a = 14 + 2a + -2a

Combine like terms: 2a + -2a = 0
-8 + 2a = 14 + 0
-8 + 2a = 14

Add '8' to each side of the equation.
-8 + 8 + 2a = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 2a = 14 + 8
2a = 14 + 8

Combine like terms: 14 + 8 = 22
2a = 22

Divide each side by '2'.
a = 11

Simplifying
a = 11

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