1.1(a+1)=-1.1(a-1.5)

Solution for 1.1(a+1)=-1.1(a-1.5) equation:

Simplifying
1.1(a + 1) = -1.1(a + -1.5)

Reorder the terms:
1.1(1 + a) = -1.1(a + -1.5)
(1 * 1.1 + a * 1.1) = -1.1(a + -1.5)
(1.1 + 1.1a) = -1.1(a + -1.5)

Reorder the terms:
1.1 + 1.1a = -1.1(-1.5 + a)
1.1 + 1.1a = (-1.5 * -1.1 + a * -1.1)
1.1 + 1.1a = (1.65 + -1.1a)

Solving
1.1 + 1.1a = 1.65 + -1.1a

Solving for variable 'a'.

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

Add '1.1a' to each side of the equation.
1.1 + 1.1a + 1.1a = 1.65 + -1.1a + 1.1a

Combine like terms: 1.1a + 1.1a = 2.2a
1.1 + 2.2a = 1.65 + -1.1a + 1.1a

Combine like terms: -1.1a + 1.1a = 0.0
1.1 + 2.2a = 1.65 + 0.0
1.1 + 2.2a = 1.65

Add '-1.1' to each side of the equation.
1.1 + -1.1 + 2.2a = 1.65 + -1.1

Combine like terms: 1.1 + -1.1 = 0.0
0.0 + 2.2a = 1.65 + -1.1
2.2a = 1.65 + -1.1

Combine like terms: 1.65 + -1.1 = 0.55
2.2a = 0.55

Divide each side by '2.2'.
a = 0.25

Simplifying
a = 0.25