-0.3(a-7)=-1.3(a+1)

Solution for -0.3(a-7)=-1.3(a+1) equation:

Simplifying
-0.3(a + -7) = -1.3(a + 1)

Reorder the terms:
-0.3(-7 + a) = -1.3(a + 1)
(-7 * -0.3 + a * -0.3) = -1.3(a + 1)
(2.1 + -0.3a) = -1.3(a + 1)

Reorder the terms:
2.1 + -0.3a = -1.3(1 + a)
2.1 + -0.3a = (1 * -1.3 + a * -1.3)
2.1 + -0.3a = (-1.3 + -1.3a)

Solving
2.1 + -0.3a = -1.3 + -1.3a

Solving for variable 'a'.

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

Add '1.3a' to each side of the equation.
2.1 + -0.3a + 1.3a = -1.3 + -1.3a + 1.3a

Combine like terms: -0.3a + 1.3a = 1a
2.1 + 1a = -1.3 + -1.3a + 1.3a

Combine like terms: -1.3a + 1.3a = 0.0
2.1 + 1a = -1.3 + 0.0
2.1 + 1a = -1.3

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 1a = -1.3 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 1a = -1.3 + -2.1
1a = -1.3 + -2.1

Combine like terms: -1.3 + -2.1 = -3.4
1a = -3.4

Divide each side by '1'.
a = -3.4

Simplifying
a = -3.4