7(2f-8)+1=2(12f-3)-2(5f+24)-1

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Solution for 7(2f-8)+1=2(12f-3)-2(5f+24)-1 equation: 


Simplifying
7(2f + -8) + 1 = 2(12f + -3) + -2(5f + 24) + -1

Reorder the terms:
7(-8 + 2f) + 1 = 2(12f + -3) + -2(5f + 24) + -1
(-8 * 7 + 2f * 7) + 1 = 2(12f + -3) + -2(5f + 24) + -1
(-56 + 14f) + 1 = 2(12f + -3) + -2(5f + 24) + -1

Reorder the terms:
-56 + 1 + 14f = 2(12f + -3) + -2(5f + 24) + -1

Combine like terms: -56 + 1 = -55
-55 + 14f = 2(12f + -3) + -2(5f + 24) + -1

Reorder the terms:
-55 + 14f = 2(-3 + 12f) + -2(5f + 24) + -1
-55 + 14f = (-3 * 2 + 12f * 2) + -2(5f + 24) + -1
-55 + 14f = (-6 + 24f) + -2(5f + 24) + -1

Reorder the terms:
-55 + 14f = -6 + 24f + -2(24 + 5f) + -1
-55 + 14f = -6 + 24f + (24 * -2 + 5f * -2) + -1
-55 + 14f = -6 + 24f + (-48 + -10f) + -1

Reorder the terms:
-55 + 14f = -6 + -48 + -1 + 24f + -10f

Combine like terms: -6 + -48 = -54
-55 + 14f = -54 + -1 + 24f + -10f

Combine like terms: -54 + -1 = -55
-55 + 14f = -55 + 24f + -10f

Combine like terms: 24f + -10f = 14f
-55 + 14f = -55 + 14f

Add '55' to each side of the equation.
-55 + 55 + 14f = -55 + 55 + 14f

Combine like terms: -55 + 55 = 0
0 + 14f = -55 + 55 + 14f
14f = -55 + 55 + 14f

Combine like terms: -55 + 55 = 0
14f = 0 + 14f
14f = 14f

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

Combine like terms: 14f + -14f = 0
0 = 14f + -14f

Combine like terms: 14f + -14f = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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