0.3(3z+7)+4.5=0.4(3z-6)

Solution for 0.3(3z+7)+4.5=0.4(3z-6) equation:

Simplifying
0.3(3z + 7) + 4.5 = 0.4(3z + -6)

Reorder the terms:
0.3(7 + 3z) + 4.5 = 0.4(3z + -6)
(7 * 0.3 + 3z * 0.3) + 4.5 = 0.4(3z + -6)
(2.1 + 0.9z) + 4.5 = 0.4(3z + -6)

Reorder the terms:
2.1 + 4.5 + 0.9z = 0.4(3z + -6)

Combine like terms: 2.1 + 4.5 = 6.6
6.6 + 0.9z = 0.4(3z + -6)

Reorder the terms:
6.6 + 0.9z = 0.4(-6 + 3z)
6.6 + 0.9z = (-6 * 0.4 + 3z * 0.4)
6.6 + 0.9z = (-2.4 + 1.2z)

Solving
6.6 + 0.9z = -2.4 + 1.2z

Solving for variable 'z'.

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

Add '-1.2z' to each side of the equation.
6.6 + 0.9z + -1.2z = -2.4 + 1.2z + -1.2z

Combine like terms: 0.9z + -1.2z = -0.3z
6.6 + -0.3z = -2.4 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
6.6 + -0.3z = -2.4 + 0.0
6.6 + -0.3z = -2.4

Add '-6.6' to each side of the equation.
6.6 + -6.6 + -0.3z = -2.4 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + -0.3z = -2.4 + -6.6
-0.3z = -2.4 + -6.6

Combine like terms: -2.4 + -6.6 = -9
-0.3z = -9

Divide each side by '-0.3'.
z = 30

Simplifying
z = 30