9[5(n-5)+17]-[2(5n-2)+4]=

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Solution for 9[5(n-5)+17]-[2(5n-2)+4]= equation:


Simplifying
9[5(n + -5) + 17] + -1[2(5n + -2) + 4] = 0

Reorder the terms:
9[5(-5 + n) + 17] + -1[2(5n + -2) + 4] = 0
9[(-5 * 5 + n * 5) + 17] + -1[2(5n + -2) + 4] = 0
9[(-25 + 5n) + 17] + -1[2(5n + -2) + 4] = 0

Reorder the terms:
9[-25 + 17 + 5n] + -1[2(5n + -2) + 4] = 0

Combine like terms: -25 + 17 = -8
9[-8 + 5n] + -1[2(5n + -2) + 4] = 0
[-8 * 9 + 5n * 9] + -1[2(5n + -2) + 4] = 0
[-72 + 45n] + -1[2(5n + -2) + 4] = 0

Reorder the terms:
-72 + 45n + -1[2(-2 + 5n) + 4] = 0
-72 + 45n + -1[(-2 * 2 + 5n * 2) + 4] = 0
-72 + 45n + -1[(-4 + 10n) + 4] = 0

Reorder the terms:
-72 + 45n + -1[-4 + 4 + 10n] = 0

Combine like terms: -4 + 4 = 0
-72 + 45n + -1[0 + 10n] = 0
-72 + 45n + -1[10n] = 0

Remove brackets around [10n]
-72 + 45n + -1 * 10n = 0

Multiply -1 * 10
-72 + 45n + -10n = 0

Combine like terms: 45n + -10n = 35n
-72 + 35n = 0

Solving
-72 + 35n = 0

Solving for variable 'n'.

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

Add '72' to each side of the equation.
-72 + 72 + 35n = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 35n = 0 + 72
35n = 0 + 72

Combine like terms: 0 + 72 = 72
35n = 72

Divide each side by '35'.
n = 2.057142857

Simplifying
n = 2.057142857

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