4(2a-8)=0.1429(49a+70)

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Solution for 4(2a-8)=0.1429(49a+70) equation:


Simplifying
4(2a + -8) = 0.1429(49a + 70)

Reorder the terms:
4(-8 + 2a) = 0.1429(49a + 70)
(-8 * 4 + 2a * 4) = 0.1429(49a + 70)
(-32 + 8a) = 0.1429(49a + 70)

Reorder the terms:
-32 + 8a = 0.1429(70 + 49a)
-32 + 8a = (70 * 0.1429 + 49a * 0.1429)
-32 + 8a = (10.003 + 7.0021a)

Solving
-32 + 8a = 10.003 + 7.0021a

Solving for variable 'a'.

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

Add '-7.0021a' to each side of the equation.
-32 + 8a + -7.0021a = 10.003 + 7.0021a + -7.0021a

Combine like terms: 8a + -7.0021a = 0.9979a
-32 + 0.9979a = 10.003 + 7.0021a + -7.0021a

Combine like terms: 7.0021a + -7.0021a = 0.0000
-32 + 0.9979a = 10.003 + 0.0000
-32 + 0.9979a = 10.003

Add '32' to each side of the equation.
-32 + 32 + 0.9979a = 10.003 + 32

Combine like terms: -32 + 32 = 0
0 + 0.9979a = 10.003 + 32
0.9979a = 10.003 + 32

Combine like terms: 10.003 + 32 = 42.003
0.9979a = 42.003

Divide each side by '0.9979'.
a = 42.09139192

Simplifying
a = 42.09139192

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