0.3(3z+6)+4.8=0.6(3z-4)

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Solution for 0.3(3z+6)+4.8=0.6(3z-4) equation: 


Simplifying
0.3(3z + 6) + 4.8 = 0.6(3z + -4)

Reorder the terms:
0.3(6 + 3z) + 4.8 = 0.6(3z + -4)
(6 * 0.3 + 3z * 0.3) + 4.8 = 0.6(3z + -4)
(1.8 + 0.9z) + 4.8 = 0.6(3z + -4)

Reorder the terms:
1.8 + 4.8 + 0.9z = 0.6(3z + -4)

Combine like terms: 1.8 + 4.8 = 6.6
6.6 + 0.9z = 0.6(3z + -4)

Reorder the terms:
6.6 + 0.9z = 0.6(-4 + 3z)
6.6 + 0.9z = (-4 * 0.6 + 3z * 0.6)
6.6 + 0.9z = (-2.4 + 1.8z)

Solving
6.6 + 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.
6.6 + 0.9z + -1.8z = -2.4 + 1.8z + -1.8z

Combine like terms: 0.9z + -1.8z = -0.9z
6.6 + -0.9z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
6.6 + -0.9z = -2.4 + 0.0
6.6 + -0.9z = -2.4

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

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + -0.9z = -2.4 + -6.6
-0.9z = -2.4 + -6.6

Combine like terms: -2.4 + -6.6 = -9
-0.9z = -9

Divide each side by '-0.9'.
z = 10

Simplifying
z = 10

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