.8(6f-14)-7(12-5f)+(23f+2)-(2f+65)=0

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Solution for .8(6f-14)-7(12-5f)+(23f+2)-(2f+65)=0 equation: 


Simplifying
0.8(6f + -14) + -7(12 + -5f) + (23f + 2) + -1(2f + 65) = 0

Reorder the terms:
0.8(-14 + 6f) + -7(12 + -5f) + (23f + 2) + -1(2f + 65) = 0
(-14 * 0.8 + 6f * 0.8) + -7(12 + -5f) + (23f + 2) + -1(2f + 65) = 0
(-11.2 + 4.8f) + -7(12 + -5f) + (23f + 2) + -1(2f + 65) = 0
-11.2 + 4.8f + (12 * -7 + -5f * -7) + (23f + 2) + -1(2f + 65) = 0
-11.2 + 4.8f + (-84 + 35f) + (23f + 2) + -1(2f + 65) = 0

Reorder the terms:
-11.2 + 4.8f + -84 + 35f + (2 + 23f) + -1(2f + 65) = 0

Remove parenthesis around (2 + 23f)
-11.2 + 4.8f + -84 + 35f + 2 + 23f + -1(2f + 65) = 0

Reorder the terms:
-11.2 + 4.8f + -84 + 35f + 2 + 23f + -1(65 + 2f) = 0
-11.2 + 4.8f + -84 + 35f + 2 + 23f + (65 * -1 + 2f * -1) = 0
-11.2 + 4.8f + -84 + 35f + 2 + 23f + (-65 + -2f) = 0

Reorder the terms:
-11.2 + -84 + 2 + -65 + 4.8f + 35f + 23f + -2f = 0

Combine like terms: -11.2 + -84 = -95.2
-95.2 + 2 + -65 + 4.8f + 35f + 23f + -2f = 0

Combine like terms: -95.2 + 2 = -93.2
-93.2 + -65 + 4.8f + 35f + 23f + -2f = 0

Combine like terms: -93.2 + -65 = -158.2
-158.2 + 4.8f + 35f + 23f + -2f = 0

Combine like terms: 4.8f + 35f = 39.8f
-158.2 + 39.8f + 23f + -2f = 0

Combine like terms: 39.8f + 23f = 62.8f
-158.2 + 62.8f + -2f = 0

Combine like terms: 62.8f + -2f = 60.8f
-158.2 + 60.8f = 0

Solving
-158.2 + 60.8f = 0

Solving for variable 'f'.

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

Add '158.2' to each side of the equation.
-158.2 + 158.2 + 60.8f = 0 + 158.2

Combine like terms: -158.2 + 158.2 = 0.0
0.0 + 60.8f = 0 + 158.2
60.8f = 0 + 158.2

Combine like terms: 0 + 158.2 = 158.2
60.8f = 158.2

Divide each side by '60.8'.
f = 2.601973684

Simplifying
f = 2.601973684

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