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

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


Simplifying
3(3n + 3) = 8(7n + 4) + 8

Reorder the terms:
3(3 + 3n) = 8(7n + 4) + 8
(3 * 3 + 3n * 3) = 8(7n + 4) + 8
(9 + 9n) = 8(7n + 4) + 8

Reorder the terms:
9 + 9n = 8(4 + 7n) + 8
9 + 9n = (4 * 8 + 7n * 8) + 8
9 + 9n = (32 + 56n) + 8

Reorder the terms:
9 + 9n = 32 + 8 + 56n

Combine like terms: 32 + 8 = 40
9 + 9n = 40 + 56n

Solving
9 + 9n = 40 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
9 + 9n + -56n = 40 + 56n + -56n

Combine like terms: 9n + -56n = -47n
9 + -47n = 40 + 56n + -56n

Combine like terms: 56n + -56n = 0
9 + -47n = 40 + 0
9 + -47n = 40

Add '-9' to each side of the equation.
9 + -9 + -47n = 40 + -9

Combine like terms: 9 + -9 = 0
0 + -47n = 40 + -9
-47n = 40 + -9

Combine like terms: 40 + -9 = 31
-47n = 31

Divide each side by '-47'.
n = -0.6595744681

Simplifying
n = -0.6595744681

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