22.4+0.8a=4.8a-4(3a-3.1)

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Solution for 22.4+0.8a=4.8a-4(3a-3.1) equation:


Simplifying
22.4 + 0.8a = 4.8a + -4(3a + -3.1)

Reorder the terms:
22.4 + 0.8a = 4.8a + -4(-3.1 + 3a)
22.4 + 0.8a = 4.8a + (-3.1 * -4 + 3a * -4)
22.4 + 0.8a = 4.8a + (12.4 + -12a)

Reorder the terms:
22.4 + 0.8a = 12.4 + 4.8a + -12a

Combine like terms: 4.8a + -12a = -7.2a
22.4 + 0.8a = 12.4 + -7.2a

Solving
22.4 + 0.8a = 12.4 + -7.2a

Solving for variable 'a'.

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

Add '7.2a' to each side of the equation.
22.4 + 0.8a + 7.2a = 12.4 + -7.2a + 7.2a

Combine like terms: 0.8a + 7.2a = 8a
22.4 + 8a = 12.4 + -7.2a + 7.2a

Combine like terms: -7.2a + 7.2a = 0.0
22.4 + 8a = 12.4 + 0.0
22.4 + 8a = 12.4

Add '-22.4' to each side of the equation.
22.4 + -22.4 + 8a = 12.4 + -22.4

Combine like terms: 22.4 + -22.4 = 0.0
0.0 + 8a = 12.4 + -22.4
8a = 12.4 + -22.4

Combine like terms: 12.4 + -22.4 = -10
8a = -10

Divide each side by '8'.
a = -1.25

Simplifying
a = -1.25

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