6a-8(a+2)=-5a-25

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Solution for 6a-8(a+2)=-5a-25 equation:


Simplifying
6a + -8(a + 2) = -5a + -25

Reorder the terms:
6a + -8(2 + a) = -5a + -25
6a + (2 * -8 + a * -8) = -5a + -25
6a + (-16 + -8a) = -5a + -25

Reorder the terms:
-16 + 6a + -8a = -5a + -25

Combine like terms: 6a + -8a = -2a
-16 + -2a = -5a + -25

Reorder the terms:
-16 + -2a = -25 + -5a

Solving
-16 + -2a = -25 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
-16 + -2a + 5a = -25 + -5a + 5a

Combine like terms: -2a + 5a = 3a
-16 + 3a = -25 + -5a + 5a

Combine like terms: -5a + 5a = 0
-16 + 3a = -25 + 0
-16 + 3a = -25

Add '16' to each side of the equation.
-16 + 16 + 3a = -25 + 16

Combine like terms: -16 + 16 = 0
0 + 3a = -25 + 16
3a = -25 + 16

Combine like terms: -25 + 16 = -9
3a = -9

Divide each side by '3'.
a = -3

Simplifying
a = -3

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