3(6f-1)-4(f+3)=8(f+1)

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Solution for 3(6f-1)-4(f+3)=8(f+1) equation:


Simplifying
3(6f + -1) + -4(f + 3) = 8(f + 1)

Reorder the terms:
3(-1 + 6f) + -4(f + 3) = 8(f + 1)
(-1 * 3 + 6f * 3) + -4(f + 3) = 8(f + 1)
(-3 + 18f) + -4(f + 3) = 8(f + 1)

Reorder the terms:
-3 + 18f + -4(3 + f) = 8(f + 1)
-3 + 18f + (3 * -4 + f * -4) = 8(f + 1)
-3 + 18f + (-12 + -4f) = 8(f + 1)

Reorder the terms:
-3 + -12 + 18f + -4f = 8(f + 1)

Combine like terms: -3 + -12 = -15
-15 + 18f + -4f = 8(f + 1)

Combine like terms: 18f + -4f = 14f
-15 + 14f = 8(f + 1)

Reorder the terms:
-15 + 14f = 8(1 + f)
-15 + 14f = (1 * 8 + f * 8)
-15 + 14f = (8 + 8f)

Solving
-15 + 14f = 8 + 8f

Solving for variable 'f'.

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

Add '-8f' to each side of the equation.
-15 + 14f + -8f = 8 + 8f + -8f

Combine like terms: 14f + -8f = 6f
-15 + 6f = 8 + 8f + -8f

Combine like terms: 8f + -8f = 0
-15 + 6f = 8 + 0
-15 + 6f = 8

Add '15' to each side of the equation.
-15 + 15 + 6f = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 6f = 8 + 15
6f = 8 + 15

Combine like terms: 8 + 15 = 23
6f = 23

Divide each side by '6'.
f = 3.833333333

Simplifying
f = 3.833333333

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