78=2(5a+4)

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Solution for 78=2(5a+4) equation: 


Simplifying
78 = 2(5a + 4)

Reorder the terms:
78 = 2(4 + 5a)
78 = (4 * 2 + 5a * 2)
78 = (8 + 10a)

Solving
78 = 8 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
78 + -10a = 8 + 10a + -10a

Combine like terms: 10a + -10a = 0
78 + -10a = 8 + 0
78 + -10a = 8

Add '-78' to each side of the equation.
78 + -78 + -10a = 8 + -78

Combine like terms: 78 + -78 = 0
0 + -10a = 8 + -78
-10a = 8 + -78

Combine like terms: 8 + -78 = -70
-10a = -70

Divide each side by '-10'.
a = 7

Simplifying
a = 7

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