9(n-7)-(3+2n)=6n

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Solution for 9(n-7)-(3+2n)=6n equation:


Simplifying
9(n + -7) + -1(3 + 2n) = 6n

Reorder the terms:
9(-7 + n) + -1(3 + 2n) = 6n
(-7 * 9 + n * 9) + -1(3 + 2n) = 6n
(-63 + 9n) + -1(3 + 2n) = 6n
-63 + 9n + (3 * -1 + 2n * -1) = 6n
-63 + 9n + (-3 + -2n) = 6n

Reorder the terms:
-63 + -3 + 9n + -2n = 6n

Combine like terms: -63 + -3 = -66
-66 + 9n + -2n = 6n

Combine like terms: 9n + -2n = 7n
-66 + 7n = 6n

Solving
-66 + 7n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-66 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-66 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-66 + 1n = 0

Add '66' to each side of the equation.
-66 + 66 + 1n = 0 + 66

Combine like terms: -66 + 66 = 0
0 + 1n = 0 + 66
1n = 0 + 66

Combine like terms: 0 + 66 = 66
1n = 66

Divide each side by '1'.
n = 66

Simplifying
n = 66

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