-3(2n+1)2.5(t-2)-6=9

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Solution for -3(2n+1)2.5(t-2)-6=9 equation: 


Simplifying
-3(2n + 1) * 2.5(t + -2) + -6 = 9

Reorder the terms:
-3(1 + 2n) * 2.5(t + -2) + -6 = 9

Reorder the terms:
-3(1 + 2n) * 2.5(-2 + t) + -6 = 9

Reorder the terms for easier multiplication:
-3 * 2.5(1 + 2n)(-2 + t) + -6 = 9

Multiply -3 * 2.5
-7.5(1 + 2n)(-2 + t) + -6 = 9

Multiply (1 + 2n) * (-2 + t)
-7.5(1(-2 + t) + 2n * (-2 + t)) + -6 = 9
-7.5((-2 * 1 + t * 1) + 2n * (-2 + t)) + -6 = 9
-7.5((-2 + 1t) + 2n * (-2 + t)) + -6 = 9
-7.5(-2 + 1t + (-2 * 2n + t * 2n)) + -6 = 9
-7.5(-2 + 1t + (-4n + 2nt)) + -6 = 9

Reorder the terms:
-7.5(-2 + -4n + 2nt + 1t) + -6 = 9
-7.5(-2 + -4n + 2nt + 1t) + -6 = 9
(-2 * -7.5 + -4n * -7.5 + 2nt * -7.5 + 1t * -7.5) + -6 = 9
(15 + 30n + -15nt + -7.5t) + -6 = 9

Reorder the terms:
15 + -6 + 30n + -15nt + -7.5t = 9

Combine like terms: 15 + -6 = 9
9 + 30n + -15nt + -7.5t = 9

Add '-9' to each side of the equation.
9 + 30n + -15nt + -9 + -7.5t = 9 + -9

Reorder the terms:
9 + -9 + 30n + -15nt + -7.5t = 9 + -9

Combine like terms: 9 + -9 = 0
0 + 30n + -15nt + -7.5t = 9 + -9
30n + -15nt + -7.5t = 9 + -9

Combine like terms: 9 + -9 = 0
30n + -15nt + -7.5t = 0

Solving
30n + -15nt + -7.5t = 0

Solving for variable 'n'.

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

Add '7.5t' to each side of the equation.
30n + -15nt + -7.5t + 7.5t = 0 + 7.5t

Combine like terms: -7.5t + 7.5t = 0.0
30n + -15nt + 0.0 = 0 + 7.5t
30n + -15nt = 0 + 7.5t
Remove the zero:
30n + -15nt = 7.5t

Combine like terms: 7.5t + -7.5t = 0.0
30n + -15nt + -7.5t = 0.0

The solution to this equation could not be determined.

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