4a+5(2a+2)=80

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Solution for 4a+5(2a+2)=80 equation:


Simplifying
4a + 5(2a + 2) = 80

Reorder the terms:
4a + 5(2 + 2a) = 80
4a + (2 * 5 + 2a * 5) = 80
4a + (10 + 10a) = 80

Reorder the terms:
10 + 4a + 10a = 80

Combine like terms: 4a + 10a = 14a
10 + 14a = 80

Solving
10 + 14a = 80

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 14a = 80 + -10

Combine like terms: 10 + -10 = 0
0 + 14a = 80 + -10
14a = 80 + -10

Combine like terms: 80 + -10 = 70
14a = 70

Divide each side by '14'.
a = 5

Simplifying
a = 5

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