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

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


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

Reorder the terms:
2(2 + 4a) = -3(a + -5)
(2 * 2 + 4a * 2) = -3(a + -5)
(4 + 8a) = -3(a + -5)

Reorder the terms:
4 + 8a = -3(-5 + a)
4 + 8a = (-5 * -3 + a * -3)
4 + 8a = (15 + -3a)

Solving
4 + 8a = 15 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
4 + 8a + 3a = 15 + -3a + 3a

Combine like terms: 8a + 3a = 11a
4 + 11a = 15 + -3a + 3a

Combine like terms: -3a + 3a = 0
4 + 11a = 15 + 0
4 + 11a = 15

Add '-4' to each side of the equation.
4 + -4 + 11a = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 11a = 15 + -4
11a = 15 + -4

Combine like terms: 15 + -4 = 11
11a = 11

Divide each side by '11'.
a = 1

Simplifying
a = 1

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