3(n-2)+6=5(m+4)

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Solution for 3(n-2)+6=5(m+4) equation:


Simplifying
3(n + -2) + 6 = 5(m + 4)

Reorder the terms:
3(-2 + n) + 6 = 5(m + 4)
(-2 * 3 + n * 3) + 6 = 5(m + 4)
(-6 + 3n) + 6 = 5(m + 4)

Reorder the terms:
-6 + 6 + 3n = 5(m + 4)

Combine like terms: -6 + 6 = 0
0 + 3n = 5(m + 4)
3n = 5(m + 4)

Reorder the terms:
3n = 5(4 + m)
3n = (4 * 5 + m * 5)
3n = (20 + 5m)

Solving
3n = 20 + 5m

Solving for variable 'n'.

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

Divide each side by '3'.
n = 6.666666667 + 1.666666667m

Simplifying
n = 6.666666667 + 1.666666667m

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