2(a-2)+5(4a)=106

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Solution for 2(a-2)+5(4a)=106 equation:


Simplifying
2(a + -2) + 5(4a) = 106

Reorder the terms:
2(-2 + a) + 5(4a) = 106
(-2 * 2 + a * 2) + 5(4a) = 106
(-4 + 2a) + 5(4a) = 106

Remove parenthesis around (4a)
-4 + 2a + 5 * 4a = 106

Multiply 5 * 4
-4 + 2a + 20a = 106

Combine like terms: 2a + 20a = 22a
-4 + 22a = 106

Solving
-4 + 22a = 106

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 22a = 106 + 4

Combine like terms: -4 + 4 = 0
0 + 22a = 106 + 4
22a = 106 + 4

Combine like terms: 106 + 4 = 110
22a = 110

Divide each side by '22'.
a = 5

Simplifying
a = 5

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