3(5n-5)-4(3n+4)=100

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Solution for 3(5n-5)-4(3n+4)=100 equation:


Simplifying
3(5n + -5) + -4(3n + 4) = 100

Reorder the terms:
3(-5 + 5n) + -4(3n + 4) = 100
(-5 * 3 + 5n * 3) + -4(3n + 4) = 100
(-15 + 15n) + -4(3n + 4) = 100

Reorder the terms:
-15 + 15n + -4(4 + 3n) = 100
-15 + 15n + (4 * -4 + 3n * -4) = 100
-15 + 15n + (-16 + -12n) = 100

Reorder the terms:
-15 + -16 + 15n + -12n = 100

Combine like terms: -15 + -16 = -31
-31 + 15n + -12n = 100

Combine like terms: 15n + -12n = 3n
-31 + 3n = 100

Solving
-31 + 3n = 100

Solving for variable 'n'.

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

Add '31' to each side of the equation.
-31 + 31 + 3n = 100 + 31

Combine like terms: -31 + 31 = 0
0 + 3n = 100 + 31
3n = 100 + 31

Combine like terms: 100 + 31 = 131
3n = 131

Divide each side by '3'.
n = 43.66666667

Simplifying
n = 43.66666667

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