7.6a-4.2-0.7(5c+4)=1.2

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Solution for 7.6a-4.2-0.7(5c+4)=1.2 equation: 


Simplifying
7.6a + -4.2 + -0.7(5c + 4) = 1.2

Reorder the terms:
7.6a + -4.2 + -0.7(4 + 5c) = 1.2
7.6a + -4.2 + (4 * -0.7 + 5c * -0.7) = 1.2
7.6a + -4.2 + (-2.8 + -3.5c) = 1.2

Reorder the terms:
-4.2 + -2.8 + 7.6a + -3.5c = 1.2

Combine like terms: -4.2 + -2.8 = -7
-7 + 7.6a + -3.5c = 1.2

Solving
-7 + 7.6a + -3.5c = 1.2

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7.6a + 7 + -3.5c = 1.2 + 7

Reorder the terms:
-7 + 7 + 7.6a + -3.5c = 1.2 + 7

Combine like terms: -7 + 7 = 0
0 + 7.6a + -3.5c = 1.2 + 7
7.6a + -3.5c = 1.2 + 7

Combine like terms: 1.2 + 7 = 8.2
7.6a + -3.5c = 8.2

Add '3.5c' to each side of the equation.
7.6a + -3.5c + 3.5c = 8.2 + 3.5c

Combine like terms: -3.5c + 3.5c = 0.0
7.6a + 0.0 = 8.2 + 3.5c
7.6a = 8.2 + 3.5c

Divide each side by '7.6'.
a = 1.078947368 + 0.4605263158c

Simplifying
a = 1.078947368 + 0.4605263158c

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