2=4(3k-8)-1

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Solution for 2=4(3k-8)-1 equation:


Simplifying
2 = 4(3k + -8) + -1

Reorder the terms:
2 = 4(-8 + 3k) + -1
2 = (-8 * 4 + 3k * 4) + -1
2 = (-32 + 12k) + -1

Reorder the terms:
2 = -32 + -1 + 12k

Combine like terms: -32 + -1 = -33
2 = -33 + 12k

Solving
2 = -33 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
2 + -12k = -33 + 12k + -12k

Combine like terms: 12k + -12k = 0
2 + -12k = -33 + 0
2 + -12k = -33

Add '-2' to each side of the equation.
2 + -2 + -12k = -33 + -2

Combine like terms: 2 + -2 = 0
0 + -12k = -33 + -2
-12k = -33 + -2

Combine like terms: -33 + -2 = -35
-12k = -35

Divide each side by '-12'.
k = 2.916666667

Simplifying
k = 2.916666667

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