88(3-4a)-22(9a+8)=55(a+1)

Solution for 88(3-4a)-22(9a+8)=55(a+1) equation:

Simplifying
88(3 + -4a) + -22(9a + 8) = 55(a + 1)
(3 * 88 + -4a * 88) + -22(9a + 8) = 55(a + 1)
(264 + -352a) + -22(9a + 8) = 55(a + 1)

Reorder the terms:
264 + -352a + -22(8 + 9a) = 55(a + 1)
264 + -352a + (8 * -22 + 9a * -22) = 55(a + 1)
264 + -352a + (-176 + -198a) = 55(a + 1)

Reorder the terms:
264 + -176 + -352a + -198a = 55(a + 1)

Combine like terms: 264 + -176 = 88
88 + -352a + -198a = 55(a + 1)

Combine like terms: -352a + -198a = -550a
88 + -550a = 55(a + 1)

Reorder the terms:
88 + -550a = 55(1 + a)
88 + -550a = (1 * 55 + a * 55)
88 + -550a = (55 + 55a)

Solving
88 + -550a = 55 + 55a

Solving for variable 'a'.

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

Add '-55a' to each side of the equation.
88 + -550a + -55a = 55 + 55a + -55a

Combine like terms: -550a + -55a = -605a
88 + -605a = 55 + 55a + -55a

Combine like terms: 55a + -55a = 0
88 + -605a = 55 + 0
88 + -605a = 55

Add '-88' to each side of the equation.
88 + -88 + -605a = 55 + -88

Combine like terms: 88 + -88 = 0
0 + -605a = 55 + -88
-605a = 55 + -88

Combine like terms: 55 + -88 = -33
-605a = -33

Divide each side by '-605'.
a = 0.05454545455

Simplifying
a = 0.05454545455