5(a-1)=-2(3a+8)

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Solution for 5(a-1)=-2(3a+8) equation:


Simplifying
5(a + -1) = -2(3a + 8)

Reorder the terms:
5(-1 + a) = -2(3a + 8)
(-1 * 5 + a * 5) = -2(3a + 8)
(-5 + 5a) = -2(3a + 8)

Reorder the terms:
-5 + 5a = -2(8 + 3a)
-5 + 5a = (8 * -2 + 3a * -2)
-5 + 5a = (-16 + -6a)

Solving
-5 + 5a = -16 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-5 + 5a + 6a = -16 + -6a + 6a

Combine like terms: 5a + 6a = 11a
-5 + 11a = -16 + -6a + 6a

Combine like terms: -6a + 6a = 0
-5 + 11a = -16 + 0
-5 + 11a = -16

Add '5' to each side of the equation.
-5 + 5 + 11a = -16 + 5

Combine like terms: -5 + 5 = 0
0 + 11a = -16 + 5
11a = -16 + 5

Combine like terms: -16 + 5 = -11
11a = -11

Divide each side by '11'.
a = -1

Simplifying
a = -1

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