3(3n+3)=8(7n+5)+3

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Solution for 3(3n+3)=8(7n+5)+3 equation:


Simplifying
3(3n + 3) = 8(7n + 5) + 3

Reorder the terms:
3(3 + 3n) = 8(7n + 5) + 3
(3 * 3 + 3n * 3) = 8(7n + 5) + 3
(9 + 9n) = 8(7n + 5) + 3

Reorder the terms:
9 + 9n = 8(5 + 7n) + 3
9 + 9n = (5 * 8 + 7n * 8) + 3
9 + 9n = (40 + 56n) + 3

Reorder the terms:
9 + 9n = 40 + 3 + 56n

Combine like terms: 40 + 3 = 43
9 + 9n = 43 + 56n

Solving
9 + 9n = 43 + 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 = 43 + 56n + -56n

Combine like terms: 9n + -56n = -47n
9 + -47n = 43 + 56n + -56n

Combine like terms: 56n + -56n = 0
9 + -47n = 43 + 0
9 + -47n = 43

Add '-9' to each side of the equation.
9 + -9 + -47n = 43 + -9

Combine like terms: 9 + -9 = 0
0 + -47n = 43 + -9
-47n = 43 + -9

Combine like terms: 43 + -9 = 34
-47n = 34

Divide each side by '-47'.
n = -0.7234042553

Simplifying
n = -0.7234042553

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