0.3(4z+7)+9.7=0.7(4z-6)

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Solution for 0.3(4z+7)+9.7=0.7(4z-6) equation: 


Simplifying
0.3(4z + 7) + 9.7 = 0.7(4z + -6)

Reorder the terms:
0.3(7 + 4z) + 9.7 = 0.7(4z + -6)
(7 * 0.3 + 4z * 0.3) + 9.7 = 0.7(4z + -6)
(2.1 + 1.2z) + 9.7 = 0.7(4z + -6)

Reorder the terms:
2.1 + 9.7 + 1.2z = 0.7(4z + -6)

Combine like terms: 2.1 + 9.7 = 11.8
11.8 + 1.2z = 0.7(4z + -6)

Reorder the terms:
11.8 + 1.2z = 0.7(-6 + 4z)
11.8 + 1.2z = (-6 * 0.7 + 4z * 0.7)
11.8 + 1.2z = (-4.2 + 2.8z)

Solving
11.8 + 1.2z = -4.2 + 2.8z

Solving for variable 'z'.

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

Add '-2.8z' to each side of the equation.
11.8 + 1.2z + -2.8z = -4.2 + 2.8z + -2.8z

Combine like terms: 1.2z + -2.8z = -1.6z
11.8 + -1.6z = -4.2 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
11.8 + -1.6z = -4.2 + 0.0
11.8 + -1.6z = -4.2

Add '-11.8' to each side of the equation.
11.8 + -11.8 + -1.6z = -4.2 + -11.8

Combine like terms: 11.8 + -11.8 = 0.0
0.0 + -1.6z = -4.2 + -11.8
-1.6z = -4.2 + -11.8

Combine like terms: -4.2 + -11.8 = -16
-1.6z = -16

Divide each side by '-1.6'.
z = 10

Simplifying
z = 10

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