8(a+2)+3=-2(a-4)-11

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Solution for 8(a+2)+3=-2(a-4)-11 equation: 


Simplifying
8(a + 2) + 3 = -2(a + -4) + -11

Reorder the terms:
8(2 + a) + 3 = -2(a + -4) + -11
(2 * 8 + a * 8) + 3 = -2(a + -4) + -11
(16 + 8a) + 3 = -2(a + -4) + -11

Reorder the terms:
16 + 3 + 8a = -2(a + -4) + -11

Combine like terms: 16 + 3 = 19
19 + 8a = -2(a + -4) + -11

Reorder the terms:
19 + 8a = -2(-4 + a) + -11
19 + 8a = (-4 * -2 + a * -2) + -11
19 + 8a = (8 + -2a) + -11

Reorder the terms:
19 + 8a = 8 + -11 + -2a

Combine like terms: 8 + -11 = -3
19 + 8a = -3 + -2a

Solving
19 + 8a = -3 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
19 + 8a + 2a = -3 + -2a + 2a

Combine like terms: 8a + 2a = 10a
19 + 10a = -3 + -2a + 2a

Combine like terms: -2a + 2a = 0
19 + 10a = -3 + 0
19 + 10a = -3

Add '-19' to each side of the equation.
19 + -19 + 10a = -3 + -19

Combine like terms: 19 + -19 = 0
0 + 10a = -3 + -19
10a = -3 + -19

Combine like terms: -3 + -19 = -22
10a = -22

Divide each side by '10'.
a = -2.2

Simplifying
a = -2.2

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