0.3(3z+6)+13.2=0.6(3z-5)

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Solution for 0.3(3z+6)+13.2=0.6(3z-5) equation:


Simplifying
0.3(3z + 6) + 13.2 = 0.6(3z + -5)

Reorder the terms:
0.3(6 + 3z) + 13.2 = 0.6(3z + -5)
(6 * 0.3 + 3z * 0.3) + 13.2 = 0.6(3z + -5)
(1.8 + 0.9z) + 13.2 = 0.6(3z + -5)

Reorder the terms:
1.8 + 13.2 + 0.9z = 0.6(3z + -5)

Combine like terms: 1.8 + 13.2 = 15
15 + 0.9z = 0.6(3z + -5)

Reorder the terms:
15 + 0.9z = 0.6(-5 + 3z)
15 + 0.9z = (-5 * 0.6 + 3z * 0.6)
15 + 0.9z = (-3 + 1.8z)

Solving
15 + 0.9z = -3 + 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.
15 + 0.9z + -1.8z = -3 + 1.8z + -1.8z

Combine like terms: 0.9z + -1.8z = -0.9z
15 + -0.9z = -3 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
15 + -0.9z = -3 + 0.0
15 + -0.9z = -3

Add '-15' to each side of the equation.
15 + -15 + -0.9z = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -0.9z = -3 + -15
-0.9z = -3 + -15

Combine like terms: -3 + -15 = -18
-0.9z = -18

Divide each side by '-0.9'.
z = 20

Simplifying
z = 20

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