20+0.3n=1.7(n-8)

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Solution for 20+0.3n=1.7(n-8) equation:


Simplifying
20 + 0.3n = 1.7(n + -8)

Reorder the terms:
20 + 0.3n = 1.7(-8 + n)
20 + 0.3n = (-8 * 1.7 + n * 1.7)
20 + 0.3n = (-13.6 + 1.7n)

Solving
20 + 0.3n = -13.6 + 1.7n

Solving for variable 'n'.

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

Add '-1.7n' to each side of the equation.
20 + 0.3n + -1.7n = -13.6 + 1.7n + -1.7n

Combine like terms: 0.3n + -1.7n = -1.4n
20 + -1.4n = -13.6 + 1.7n + -1.7n

Combine like terms: 1.7n + -1.7n = 0.0
20 + -1.4n = -13.6 + 0.0
20 + -1.4n = -13.6

Add '-20' to each side of the equation.
20 + -20 + -1.4n = -13.6 + -20

Combine like terms: 20 + -20 = 0
0 + -1.4n = -13.6 + -20
-1.4n = -13.6 + -20

Combine like terms: -13.6 + -20 = -33.6
-1.4n = -33.6

Divide each side by '-1.4'.
n = 24

Simplifying
n = 24

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