7(n+3)=6(h-3)

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


Simplifying
7(n + 3) = 6(h + -3)

Reorder the terms:
7(3 + n) = 6(h + -3)
(3 * 7 + n * 7) = 6(h + -3)
(21 + 7n) = 6(h + -3)

Reorder the terms:
21 + 7n = 6(-3 + h)
21 + 7n = (-3 * 6 + h * 6)
21 + 7n = (-18 + 6h)

Solving
21 + 7n = -18 + 6h

Solving for variable 'n'.

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

Add '-21' to each side of the equation.
21 + -21 + 7n = -18 + -21 + 6h

Combine like terms: 21 + -21 = 0
0 + 7n = -18 + -21 + 6h
7n = -18 + -21 + 6h

Combine like terms: -18 + -21 = -39
7n = -39 + 6h

Divide each side by '7'.
n = -5.571428571 + 0.8571428571h

Simplifying
n = -5.571428571 + 0.8571428571h

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