0.3(2z+6)+11.7=0.5(2z-5)

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Solution for 0.3(2z+6)+11.7=0.5(2z-5) equation:


Simplifying
0.3(2z + 6) + 11.7 = 0.5(2z + -5)

Reorder the terms:
0.3(6 + 2z) + 11.7 = 0.5(2z + -5)
(6 * 0.3 + 2z * 0.3) + 11.7 = 0.5(2z + -5)
(1.8 + 0.6z) + 11.7 = 0.5(2z + -5)

Reorder the terms:
1.8 + 11.7 + 0.6z = 0.5(2z + -5)

Combine like terms: 1.8 + 11.7 = 13.5
13.5 + 0.6z = 0.5(2z + -5)

Reorder the terms:
13.5 + 0.6z = 0.5(-5 + 2z)
13.5 + 0.6z = (-5 * 0.5 + 2z * 0.5)
13.5 + 0.6z = (-2.5 + 1z)

Solving
13.5 + 0.6z = -2.5 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
13.5 + 0.6z + -1z = -2.5 + 1z + -1z

Combine like terms: 0.6z + -1z = -0.4z
13.5 + -0.4z = -2.5 + 1z + -1z

Combine like terms: 1z + -1z = 0
13.5 + -0.4z = -2.5 + 0
13.5 + -0.4z = -2.5

Add '-13.5' to each side of the equation.
13.5 + -13.5 + -0.4z = -2.5 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -0.4z = -2.5 + -13.5
-0.4z = -2.5 + -13.5

Combine like terms: -2.5 + -13.5 = -16
-0.4z = -16

Divide each side by '-0.4'.
z = 40

Simplifying
z = 40

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