0.3(3z+7)+31.5=0.6(3z-4)

Solution for 0.3(3z+7)+31.5=0.6(3z-4) equation:

Simplifying
0.3(3z + 7) + 31.5 = 0.6(3z + -4)

Reorder the terms:
0.3(7 + 3z) + 31.5 = 0.6(3z + -4)
(7 * 0.3 + 3z * 0.3) + 31.5 = 0.6(3z + -4)
(2.1 + 0.9z) + 31.5 = 0.6(3z + -4)

Reorder the terms:
2.1 + 31.5 + 0.9z = 0.6(3z + -4)

Combine like terms: 2.1 + 31.5 = 33.6
33.6 + 0.9z = 0.6(3z + -4)

Reorder the terms:
33.6 + 0.9z = 0.6(-4 + 3z)
33.6 + 0.9z = (-4 * 0.6 + 3z * 0.6)
33.6 + 0.9z = (-2.4 + 1.8z)

Solving
33.6 + 0.9z = -2.4 + 1.8z

Solving for variable 'z'.

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

Add '-1.8z' to each side of the equation.
33.6 + 0.9z + -1.8z = -2.4 + 1.8z + -1.8z

Combine like terms: 0.9z + -1.8z = -0.9z
33.6 + -0.9z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
33.6 + -0.9z = -2.4 + 0.0
33.6 + -0.9z = -2.4

Add '-33.6' to each side of the equation.
33.6 + -33.6 + -0.9z = -2.4 + -33.6

Combine like terms: 33.6 + -33.6 = 0.0
0.0 + -0.9z = -2.4 + -33.6
-0.9z = -2.4 + -33.6

Combine like terms: -2.4 + -33.6 = -36
-0.9z = -36

Divide each side by '-0.9'.
z = 40

Simplifying
z = 40