10(2n+1)=8(z-3)+36

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Solution for 10(2n+1)=8(z-3)+36 equation:


Simplifying
10(2n + 1) = 8(z + -3) + 36

Reorder the terms:
10(1 + 2n) = 8(z + -3) + 36
(1 * 10 + 2n * 10) = 8(z + -3) + 36
(10 + 20n) = 8(z + -3) + 36

Reorder the terms:
10 + 20n = 8(-3 + z) + 36
10 + 20n = (-3 * 8 + z * 8) + 36
10 + 20n = (-24 + 8z) + 36

Reorder the terms:
10 + 20n = -24 + 36 + 8z

Combine like terms: -24 + 36 = 12
10 + 20n = 12 + 8z

Solving
10 + 20n = 12 + 8z

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 20n = 12 + -10 + 8z

Combine like terms: 10 + -10 = 0
0 + 20n = 12 + -10 + 8z
20n = 12 + -10 + 8z

Combine like terms: 12 + -10 = 2
20n = 2 + 8z

Divide each side by '20'.
n = 0.1 + 0.4z

Simplifying
n = 0.1 + 0.4z

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