0.1(a+1)=-6(a+8)

Solution for 0.1(a+1)=-6(a+8) equation:

Simplifying
0.1(a + 1) = -6(a + 8)

Reorder the terms:
0.1(1 + a) = -6(a + 8)
(1 * 0.1 + a * 0.1) = -6(a + 8)
(0.1 + 0.1a) = -6(a + 8)

Reorder the terms:
0.1 + 0.1a = -6(8 + a)
0.1 + 0.1a = (8 * -6 + a * -6)
0.1 + 0.1a = (-48 + -6a)

Solving
0.1 + 0.1a = -48 + -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.
0.1 + 0.1a + 6a = -48 + -6a + 6a

Combine like terms: 0.1a + 6a = 6.1a
0.1 + 6.1a = -48 + -6a + 6a

Combine like terms: -6a + 6a = 0
0.1 + 6.1a = -48 + 0
0.1 + 6.1a = -48

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 6.1a = -48 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 6.1a = -48 + -0.1
6.1a = -48 + -0.1

Combine like terms: -48 + -0.1 = -48.1
6.1a = -48.1

Divide each side by '6.1'.
a = -7.885245902

Simplifying
a = -7.885245902