7.4(z-6.5)-0.9=8.3z-7

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Solution for 7.4(z-6.5)-0.9=8.3z-7 equation: 


Simplifying
7.4(z + -6.5) + -0.9 = 8.3z + -7

Reorder the terms:
7.4(-6.5 + z) + -0.9 = 8.3z + -7
(-6.5 * 7.4 + z * 7.4) + -0.9 = 8.3z + -7
(-48.1 + 7.4z) + -0.9 = 8.3z + -7

Reorder the terms:
-48.1 + -0.9 + 7.4z = 8.3z + -7

Combine like terms: -48.1 + -0.9 = -49
-49 + 7.4z = 8.3z + -7

Reorder the terms:
-49 + 7.4z = -7 + 8.3z

Solving
-49 + 7.4z = -7 + 8.3z

Solving for variable 'z'.

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

Add '-8.3z' to each side of the equation.
-49 + 7.4z + -8.3z = -7 + 8.3z + -8.3z

Combine like terms: 7.4z + -8.3z = -0.9z
-49 + -0.9z = -7 + 8.3z + -8.3z

Combine like terms: 8.3z + -8.3z = 0.0
-49 + -0.9z = -7 + 0.0
-49 + -0.9z = -7

Add '49' to each side of the equation.
-49 + 49 + -0.9z = -7 + 49

Combine like terms: -49 + 49 = 0
0 + -0.9z = -7 + 49
-0.9z = -7 + 49

Combine like terms: -7 + 49 = 42
-0.9z = 42

Divide each side by '-0.9'.
z = -46.66666667

Simplifying
z = -46.66666667

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