-4(4-3a)=7a+34

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Solution for -4(4-3a)=7a+34 equation: 


Simplifying
-4(4 + -3a) = 7a + 34
(4 * -4 + -3a * -4) = 7a + 34
(-16 + 12a) = 7a + 34

Reorder the terms:
-16 + 12a = 34 + 7a

Solving
-16 + 12a = 34 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-16 + 12a + -7a = 34 + 7a + -7a

Combine like terms: 12a + -7a = 5a
-16 + 5a = 34 + 7a + -7a

Combine like terms: 7a + -7a = 0
-16 + 5a = 34 + 0
-16 + 5a = 34

Add '16' to each side of the equation.
-16 + 16 + 5a = 34 + 16

Combine like terms: -16 + 16 = 0
0 + 5a = 34 + 16
5a = 34 + 16

Combine like terms: 34 + 16 = 50
5a = 50

Divide each side by '5'.
a = 10

Simplifying
a = 10

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