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

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


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

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

Reorder the terms:
-3 + -1a = -3(1 + 2a) + -8
-3 + -1a = (1 * -3 + 2a * -3) + -8
-3 + -1a = (-3 + -6a) + -8

Reorder the terms:
-3 + -1a = -3 + -8 + -6a

Combine like terms: -3 + -8 = -11
-3 + -1a = -11 + -6a

Solving
-3 + -1a = -11 + -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.
-3 + -1a + 6a = -11 + -6a + 6a

Combine like terms: -1a + 6a = 5a
-3 + 5a = -11 + -6a + 6a

Combine like terms: -6a + 6a = 0
-3 + 5a = -11 + 0
-3 + 5a = -11

Add '3' to each side of the equation.
-3 + 3 + 5a = -11 + 3

Combine like terms: -3 + 3 = 0
0 + 5a = -11 + 3
5a = -11 + 3

Combine like terms: -11 + 3 = -8
5a = -8

Divide each side by '5'.
a = -1.6

Simplifying
a = -1.6

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