0.75(n-13)=-2(9+n)

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Solution for 0.75(n-13)=-2(9+n) equation:


Simplifying
0.75(n + -13) = -2(9 + n)

Reorder the terms:
0.75(-13 + n) = -2(9 + n)
(-13 * 0.75 + n * 0.75) = -2(9 + n)
(-9.75 + 0.75n) = -2(9 + n)
-9.75 + 0.75n = (9 * -2 + n * -2)
-9.75 + 0.75n = (-18 + -2n)

Solving
-9.75 + 0.75n = -18 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-9.75 + 0.75n + 2n = -18 + -2n + 2n

Combine like terms: 0.75n + 2n = 2.75n
-9.75 + 2.75n = -18 + -2n + 2n

Combine like terms: -2n + 2n = 0
-9.75 + 2.75n = -18 + 0
-9.75 + 2.75n = -18

Add '9.75' to each side of the equation.
-9.75 + 9.75 + 2.75n = -18 + 9.75

Combine like terms: -9.75 + 9.75 = 0.00
0.00 + 2.75n = -18 + 9.75
2.75n = -18 + 9.75

Combine like terms: -18 + 9.75 = -8.25
2.75n = -8.25

Divide each side by '2.75'.
n = -3

Simplifying
n = -3

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