-4(4-7n)-7(7+2n)=-9

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Solution for -4(4-7n)-7(7+2n)=-9 equation: 


Simplifying
-4(4 + -7n) + -7(7 + 2n) = -9
(4 * -4 + -7n * -4) + -7(7 + 2n) = -9
(-16 + 28n) + -7(7 + 2n) = -9
-16 + 28n + (7 * -7 + 2n * -7) = -9
-16 + 28n + (-49 + -14n) = -9

Reorder the terms:
-16 + -49 + 28n + -14n = -9

Combine like terms: -16 + -49 = -65
-65 + 28n + -14n = -9

Combine like terms: 28n + -14n = 14n
-65 + 14n = -9

Solving
-65 + 14n = -9

Solving for variable 'n'.

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

Add '65' to each side of the equation.
-65 + 65 + 14n = -9 + 65

Combine like terms: -65 + 65 = 0
0 + 14n = -9 + 65
14n = -9 + 65

Combine like terms: -9 + 65 = 56
14n = 56

Divide each side by '14'.
n = 4

Simplifying
n = 4

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