1.3(z-1)=-0.7(z+6)

Solution for 1.3(z-1)=-0.7(z+6) equation:

Simplifying
1.3(z + -1) = -0.7(z + 6)

Reorder the terms:
1.3(-1 + z) = -0.7(z + 6)
(-1 * 1.3 + z * 1.3) = -0.7(z + 6)
(-1.3 + 1.3z) = -0.7(z + 6)

Reorder the terms:
-1.3 + 1.3z = -0.7(6 + z)
-1.3 + 1.3z = (6 * -0.7 + z * -0.7)
-1.3 + 1.3z = (-4.2 + -0.7z)

Solving
-1.3 + 1.3z = -4.2 + -0.7z

Solving for variable 'z'.

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

Add '0.7z' to each side of the equation.
-1.3 + 1.3z + 0.7z = -4.2 + -0.7z + 0.7z

Combine like terms: 1.3z + 0.7z = 2z
-1.3 + 2z = -4.2 + -0.7z + 0.7z

Combine like terms: -0.7z + 0.7z = 0.0
-1.3 + 2z = -4.2 + 0.0
-1.3 + 2z = -4.2

Add '1.3' to each side of the equation.
-1.3 + 1.3 + 2z = -4.2 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + 2z = -4.2 + 1.3
2z = -4.2 + 1.3

Combine like terms: -4.2 + 1.3 = -2.9
2z = -2.9

Divide each side by '2'.
z = -1.45

Simplifying
z = -1.45