4(4a+3)-2=2a+38

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Solution for 4(4a+3)-2=2a+38 equation:


Simplifying
4(4a + 3) + -2 = 2a + 38

Reorder the terms:
4(3 + 4a) + -2 = 2a + 38
(3 * 4 + 4a * 4) + -2 = 2a + 38
(12 + 16a) + -2 = 2a + 38

Reorder the terms:
12 + -2 + 16a = 2a + 38

Combine like terms: 12 + -2 = 10
10 + 16a = 2a + 38

Reorder the terms:
10 + 16a = 38 + 2a

Solving
10 + 16a = 38 + 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.
10 + 16a + -2a = 38 + 2a + -2a

Combine like terms: 16a + -2a = 14a
10 + 14a = 38 + 2a + -2a

Combine like terms: 2a + -2a = 0
10 + 14a = 38 + 0
10 + 14a = 38

Add '-10' to each side of the equation.
10 + -10 + 14a = 38 + -10

Combine like terms: 10 + -10 = 0
0 + 14a = 38 + -10
14a = 38 + -10

Combine like terms: 38 + -10 = 28
14a = 28

Divide each side by '14'.
a = 2

Simplifying
a = 2

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