6(8+4n)=-3+7n

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Solution for 6(8+4n)=-3+7n equation:


Simplifying
6(8 + 4n) = -3 + 7n
(8 * 6 + 4n * 6) = -3 + 7n
(48 + 24n) = -3 + 7n

Solving
48 + 24n = -3 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
48 + 24n + -7n = -3 + 7n + -7n

Combine like terms: 24n + -7n = 17n
48 + 17n = -3 + 7n + -7n

Combine like terms: 7n + -7n = 0
48 + 17n = -3 + 0
48 + 17n = -3

Add '-48' to each side of the equation.
48 + -48 + 17n = -3 + -48

Combine like terms: 48 + -48 = 0
0 + 17n = -3 + -48
17n = -3 + -48

Combine like terms: -3 + -48 = -51
17n = -51

Divide each side by '17'.
n = -3

Simplifying
n = -3

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