4(5n+7)-3h=3(4n-9)

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Solution for 4(5n+7)-3h=3(4n-9) equation:


Simplifying
4(5n + 7) + -3h = 3(4n + -9)

Reorder the terms:
4(7 + 5n) + -3h = 3(4n + -9)
(7 * 4 + 5n * 4) + -3h = 3(4n + -9)
(28 + 20n) + -3h = 3(4n + -9)

Reorder the terms:
28 + -3h + 20n = 3(4n + -9)

Reorder the terms:
28 + -3h + 20n = 3(-9 + 4n)
28 + -3h + 20n = (-9 * 3 + 4n * 3)
28 + -3h + 20n = (-27 + 12n)

Solving
28 + -3h + 20n = -27 + 12n

Solving for variable 'h'.

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

Add '-28' to each side of the equation.
28 + -3h + -28 + 20n = -27 + -28 + 12n

Reorder the terms:
28 + -28 + -3h + 20n = -27 + -28 + 12n

Combine like terms: 28 + -28 = 0
0 + -3h + 20n = -27 + -28 + 12n
-3h + 20n = -27 + -28 + 12n

Combine like terms: -27 + -28 = -55
-3h + 20n = -55 + 12n

Add '-20n' to each side of the equation.
-3h + 20n + -20n = -55 + 12n + -20n

Combine like terms: 20n + -20n = 0
-3h + 0 = -55 + 12n + -20n
-3h = -55 + 12n + -20n

Combine like terms: 12n + -20n = -8n
-3h = -55 + -8n

Divide each side by '-3'.
h = 18.33333333 + 2.666666667n

Simplifying
h = 18.33333333 + 2.666666667n

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