6*2(tf-3)=12*7(tf-16)

Solution for 6*2(tf-3)=12*7(tf-16) equation:

Simplifying
6 * 2(tf + -3) = 12 * 7(tf + -16)

Reorder the terms:
6 * 2(-3 + ft) = 12 * 7(tf + -16)

Multiply 6 * 2
12(-3 + ft) = 12 * 7(tf + -16)
(-3 * 12 + ft * 12) = 12 * 7(tf + -16)
(-36 + 12ft) = 12 * 7(tf + -16)

Reorder the terms:
-36 + 12ft = 12 * 7(-16 + ft)

Multiply 12 * 7
-36 + 12ft = 84(-16 + ft)
-36 + 12ft = (-16 * 84 + ft * 84)
-36 + 12ft = (-1344 + 84ft)

Solving
-36 + 12ft = -1344 + 84ft

Solving for variable 'f'.

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

Add '-84ft' to each side of the equation.
-36 + 12ft + -84ft = -1344 + 84ft + -84ft

Combine like terms: 12ft + -84ft = -72ft
-36 + -72ft = -1344 + 84ft + -84ft

Combine like terms: 84ft + -84ft = 0
-36 + -72ft = -1344 + 0
-36 + -72ft = -1344

Add '36' to each side of the equation.
-36 + 36 + -72ft = -1344 + 36

Combine like terms: -36 + 36 = 0
0 + -72ft = -1344 + 36
-72ft = -1344 + 36

Combine like terms: -1344 + 36 = -1308
-72ft = -1308

Divide each side by '-72t'.
f = 18.16666667t-1

Simplifying
f = 18.16666667t-1