6.7(z+7)+7=8.1z+1

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Solution for 6.7(z+7)+7=8.1z+1 equation:


Simplifying
6.7(z + 7) + 7 = 8.1z + 1

Reorder the terms:
6.7(7 + z) + 7 = 8.1z + 1
(7 * 6.7 + z * 6.7) + 7 = 8.1z + 1
(46.9 + 6.7z) + 7 = 8.1z + 1

Reorder the terms:
46.9 + 7 + 6.7z = 8.1z + 1

Combine like terms: 46.9 + 7 = 53.9
53.9 + 6.7z = 8.1z + 1

Reorder the terms:
53.9 + 6.7z = 1 + 8.1z

Solving
53.9 + 6.7z = 1 + 8.1z

Solving for variable 'z'.

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

Add '-8.1z' to each side of the equation.
53.9 + 6.7z + -8.1z = 1 + 8.1z + -8.1z

Combine like terms: 6.7z + -8.1z = -1.4z
53.9 + -1.4z = 1 + 8.1z + -8.1z

Combine like terms: 8.1z + -8.1z = 0.0
53.9 + -1.4z = 1 + 0.0
53.9 + -1.4z = 1

Add '-53.9' to each side of the equation.
53.9 + -53.9 + -1.4z = 1 + -53.9

Combine like terms: 53.9 + -53.9 = 0.0
0.0 + -1.4z = 1 + -53.9
-1.4z = 1 + -53.9

Combine like terms: 1 + -53.9 = -52.9
-1.4z = -52.9

Divide each side by '-1.4'.
z = 37.78571429

Simplifying
z = 37.78571429

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