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

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


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

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

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

Solving
21 + 7h = -18 + 6n

Solving for variable 'h'.

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

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

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

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

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

Simplifying
h = -5.571428571 + 0.8571428571n

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