8k+2(5k-3)=7k-28

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Solution for 8k+2(5k-3)=7k-28 equation:


Simplifying
8k + 2(5k + -3) = 7k + -28

Reorder the terms:
8k + 2(-3 + 5k) = 7k + -28
8k + (-3 * 2 + 5k * 2) = 7k + -28
8k + (-6 + 10k) = 7k + -28

Reorder the terms:
-6 + 8k + 10k = 7k + -28

Combine like terms: 8k + 10k = 18k
-6 + 18k = 7k + -28

Reorder the terms:
-6 + 18k = -28 + 7k

Solving
-6 + 18k = -28 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
-6 + 18k + -7k = -28 + 7k + -7k

Combine like terms: 18k + -7k = 11k
-6 + 11k = -28 + 7k + -7k

Combine like terms: 7k + -7k = 0
-6 + 11k = -28 + 0
-6 + 11k = -28

Add '6' to each side of the equation.
-6 + 6 + 11k = -28 + 6

Combine like terms: -6 + 6 = 0
0 + 11k = -28 + 6
11k = -28 + 6

Combine like terms: -28 + 6 = -22
11k = -22

Divide each side by '11'.
k = -2

Simplifying
k = -2

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