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

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Solution for 6(a+4)=5(4a+2) equation:


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

Reorder the terms:
6(4 + a) = 5(4a + 2)
(4 * 6 + a * 6) = 5(4a + 2)
(24 + 6a) = 5(4a + 2)

Reorder the terms:
24 + 6a = 5(2 + 4a)
24 + 6a = (2 * 5 + 4a * 5)
24 + 6a = (10 + 20a)

Solving
24 + 6a = 10 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
24 + 6a + -20a = 10 + 20a + -20a

Combine like terms: 6a + -20a = -14a
24 + -14a = 10 + 20a + -20a

Combine like terms: 20a + -20a = 0
24 + -14a = 10 + 0
24 + -14a = 10

Add '-24' to each side of the equation.
24 + -24 + -14a = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -14a = 10 + -24
-14a = 10 + -24

Combine like terms: 10 + -24 = -14
-14a = -14

Divide each side by '-14'.
a = 1

Simplifying
a = 1

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