4a+8(b+1)=3(2b-8)-16

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Solution for 4a+8(b+1)=3(2b-8)-16 equation:


Simplifying
4a + 8(b + 1) = 3(2b + -8) + -16

Reorder the terms:
4a + 8(1 + b) = 3(2b + -8) + -16
4a + (1 * 8 + b * 8) = 3(2b + -8) + -16
4a + (8 + 8b) = 3(2b + -8) + -16

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

Reorder the terms:
8 + 4a + 8b = 3(-8 + 2b) + -16
8 + 4a + 8b = (-8 * 3 + 2b * 3) + -16
8 + 4a + 8b = (-24 + 6b) + -16

Reorder the terms:
8 + 4a + 8b = -24 + -16 + 6b

Combine like terms: -24 + -16 = -40
8 + 4a + 8b = -40 + 6b

Solving
8 + 4a + 8b = -40 + 6b

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + 4a + -8 + 8b = -40 + -8 + 6b

Reorder the terms:
8 + -8 + 4a + 8b = -40 + -8 + 6b

Combine like terms: 8 + -8 = 0
0 + 4a + 8b = -40 + -8 + 6b
4a + 8b = -40 + -8 + 6b

Combine like terms: -40 + -8 = -48
4a + 8b = -48 + 6b

Add '-8b' to each side of the equation.
4a + 8b + -8b = -48 + 6b + -8b

Combine like terms: 8b + -8b = 0
4a + 0 = -48 + 6b + -8b
4a = -48 + 6b + -8b

Combine like terms: 6b + -8b = -2b
4a = -48 + -2b

Divide each side by '4'.
a = -12 + -0.5b

Simplifying
a = -12 + -0.5b

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