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

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


Simplifying
2(5 + -3a) = -4(a + 4)
(5 * 2 + -3a * 2) = -4(a + 4)
(10 + -6a) = -4(a + 4)

Reorder the terms:
10 + -6a = -4(4 + a)
10 + -6a = (4 * -4 + a * -4)
10 + -6a = (-16 + -4a)

Solving
10 + -6a = -16 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
10 + -6a + 4a = -16 + -4a + 4a

Combine like terms: -6a + 4a = -2a
10 + -2a = -16 + -4a + 4a

Combine like terms: -4a + 4a = 0
10 + -2a = -16 + 0
10 + -2a = -16

Add '-10' to each side of the equation.
10 + -10 + -2a = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -2a = -16 + -10
-2a = -16 + -10

Combine like terms: -16 + -10 = -26
-2a = -26

Divide each side by '-2'.
a = 13

Simplifying
a = 13

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