3f+[-5f-(f+3)]=8f+(-5f-9)

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Solution for 3f+[-5f-(f+3)]=8f+(-5f-9) equation:


Simplifying
3f + [-5f + -1(f + 3)] = 8f + (-5f + -9)

Reorder the terms:
3f + [-5f + -1(3 + f)] = 8f + (-5f + -9)
3f + [-5f + (3 * -1 + f * -1)] = 8f + (-5f + -9)
3f + [-5f + (-3 + -1f)] = 8f + (-5f + -9)

Reorder the terms:
3f + [-3 + -5f + -1f] = 8f + (-5f + -9)

Combine like terms: -5f + -1f = -6f
3f + [-3 + -6f] = 8f + (-5f + -9)

Remove brackets around [-3 + -6f]
3f + -3 + -6f = 8f + (-5f + -9)

Reorder the terms:
-3 + 3f + -6f = 8f + (-5f + -9)

Combine like terms: 3f + -6f = -3f
-3 + -3f = 8f + (-5f + -9)

Reorder the terms:
-3 + -3f = 8f + (-9 + -5f)

Remove parenthesis around (-9 + -5f)
-3 + -3f = 8f + -9 + -5f

Reorder the terms:
-3 + -3f = -9 + 8f + -5f

Combine like terms: 8f + -5f = 3f
-3 + -3f = -9 + 3f

Solving
-3 + -3f = -9 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
-3 + -3f + -3f = -9 + 3f + -3f

Combine like terms: -3f + -3f = -6f
-3 + -6f = -9 + 3f + -3f

Combine like terms: 3f + -3f = 0
-3 + -6f = -9 + 0
-3 + -6f = -9

Add '3' to each side of the equation.
-3 + 3 + -6f = -9 + 3

Combine like terms: -3 + 3 = 0
0 + -6f = -9 + 3
-6f = -9 + 3

Combine like terms: -9 + 3 = -6
-6f = -6

Divide each side by '-6'.
f = 1

Simplifying
f = 1

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