8-3(2k+9)+2(7+5)=2

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Solution for 8-3(2k+9)+2(7+5)=2 equation: 


Simplifying
8 + -3(2k + 9) + 2(7 + 5) = 2

Reorder the terms:
8 + -3(9 + 2k) + 2(7 + 5) = 2
8 + (9 * -3 + 2k * -3) + 2(7 + 5) = 2
8 + (-27 + -6k) + 2(7 + 5) = 2

Combine like terms: 7 + 5 = 12
8 + -27 + -6k + 2(12) = 2

Multiply 2 * 12
8 + -27 + -6k + 24 = 2

Reorder the terms:
8 + -27 + 24 + -6k = 2

Combine like terms: 8 + -27 = -19
-19 + 24 + -6k = 2

Combine like terms: -19 + 24 = 5
5 + -6k = 2

Solving
5 + -6k = 2

Solving for variable 'k'.

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

Add '-5' to each side of the equation.
5 + -5 + -6k = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -6k = 2 + -5
-6k = 2 + -5

Combine like terms: 2 + -5 = -3
-6k = -3

Divide each side by '-6'.
k = 0.5

Simplifying
k = 0.5

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