9(5n-6)-7(n+2)=46

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Solution for 9(5n-6)-7(n+2)=46 equation:


Simplifying
9(5n + -6) + -7(n + 2) = 46

Reorder the terms:
9(-6 + 5n) + -7(n + 2) = 46
(-6 * 9 + 5n * 9) + -7(n + 2) = 46
(-54 + 45n) + -7(n + 2) = 46

Reorder the terms:
-54 + 45n + -7(2 + n) = 46
-54 + 45n + (2 * -7 + n * -7) = 46
-54 + 45n + (-14 + -7n) = 46

Reorder the terms:
-54 + -14 + 45n + -7n = 46

Combine like terms: -54 + -14 = -68
-68 + 45n + -7n = 46

Combine like terms: 45n + -7n = 38n
-68 + 38n = 46

Solving
-68 + 38n = 46

Solving for variable 'n'.

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

Add '68' to each side of the equation.
-68 + 68 + 38n = 46 + 68

Combine like terms: -68 + 68 = 0
0 + 38n = 46 + 68
38n = 46 + 68

Combine like terms: 46 + 68 = 114
38n = 114

Divide each side by '38'.
n = 3

Simplifying
n = 3

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