2(8-3a)=4(-5a+2)

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Solution for 2(8-3a)=4(-5a+2) equation:


Simplifying
2(8 + -3a) = 4(-5a + 2)
(8 * 2 + -3a * 2) = 4(-5a + 2)
(16 + -6a) = 4(-5a + 2)

Reorder the terms:
16 + -6a = 4(2 + -5a)
16 + -6a = (2 * 4 + -5a * 4)
16 + -6a = (8 + -20a)

Solving
16 + -6a = 8 + -20a

Solving for variable 'a'.

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

Add '20a' to each side of the equation.
16 + -6a + 20a = 8 + -20a + 20a

Combine like terms: -6a + 20a = 14a
16 + 14a = 8 + -20a + 20a

Combine like terms: -20a + 20a = 0
16 + 14a = 8 + 0
16 + 14a = 8

Add '-16' to each side of the equation.
16 + -16 + 14a = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 14a = 8 + -16
14a = 8 + -16

Combine like terms: 8 + -16 = -8
14a = -8

Divide each side by '14'.
a = -0.5714285714

Simplifying
a = -0.5714285714

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