5k+5=2(6k-14)+68

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Solution for 5k+5=2(6k-14)+68 equation:


Simplifying
5k + 5 = 2(6k + -14) + 68

Reorder the terms:
5 + 5k = 2(6k + -14) + 68

Reorder the terms:
5 + 5k = 2(-14 + 6k) + 68
5 + 5k = (-14 * 2 + 6k * 2) + 68
5 + 5k = (-28 + 12k) + 68

Reorder the terms:
5 + 5k = -28 + 68 + 12k

Combine like terms: -28 + 68 = 40
5 + 5k = 40 + 12k

Solving
5 + 5k = 40 + 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.
5 + 5k + -12k = 40 + 12k + -12k

Combine like terms: 5k + -12k = -7k
5 + -7k = 40 + 12k + -12k

Combine like terms: 12k + -12k = 0
5 + -7k = 40 + 0
5 + -7k = 40

Add '-5' to each side of the equation.
5 + -5 + -7k = 40 + -5

Combine like terms: 5 + -5 = 0
0 + -7k = 40 + -5
-7k = 40 + -5

Combine like terms: 40 + -5 = 35
-7k = 35

Divide each side by '-7'.
k = -5

Simplifying
k = -5

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