27-11*(4n+3)=4*(7n+2)-37n

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Solution for 27-11*(4n+3)=4*(7n+2)-37n equation:


Simplifying
27 + -11(4n + 3) = 4(7n + 2) + -37n

Reorder the terms:
27 + -11(3 + 4n) = 4(7n + 2) + -37n
27 + (3 * -11 + 4n * -11) = 4(7n + 2) + -37n
27 + (-33 + -44n) = 4(7n + 2) + -37n

Combine like terms: 27 + -33 = -6
-6 + -44n = 4(7n + 2) + -37n

Reorder the terms:
-6 + -44n = 4(2 + 7n) + -37n
-6 + -44n = (2 * 4 + 7n * 4) + -37n
-6 + -44n = (8 + 28n) + -37n

Combine like terms: 28n + -37n = -9n
-6 + -44n = 8 + -9n

Solving
-6 + -44n = 8 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
-6 + -44n + 9n = 8 + -9n + 9n

Combine like terms: -44n + 9n = -35n
-6 + -35n = 8 + -9n + 9n

Combine like terms: -9n + 9n = 0
-6 + -35n = 8 + 0
-6 + -35n = 8

Add '6' to each side of the equation.
-6 + 6 + -35n = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -35n = 8 + 6
-35n = 8 + 6

Combine like terms: 8 + 6 = 14
-35n = 14

Divide each side by '-35'.
n = -0.4

Simplifying
n = -0.4

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