-28+2k=4(3k+1)-2

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Solution for -28+2k=4(3k+1)-2 equation:


Simplifying
-28 + 2k = 4(3k + 1) + -2

Reorder the terms:
-28 + 2k = 4(1 + 3k) + -2
-28 + 2k = (1 * 4 + 3k * 4) + -2
-28 + 2k = (4 + 12k) + -2

Reorder the terms:
-28 + 2k = 4 + -2 + 12k

Combine like terms: 4 + -2 = 2
-28 + 2k = 2 + 12k

Solving
-28 + 2k = 2 + 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.
-28 + 2k + -12k = 2 + 12k + -12k

Combine like terms: 2k + -12k = -10k
-28 + -10k = 2 + 12k + -12k

Combine like terms: 12k + -12k = 0
-28 + -10k = 2 + 0
-28 + -10k = 2

Add '28' to each side of the equation.
-28 + 28 + -10k = 2 + 28

Combine like terms: -28 + 28 = 0
0 + -10k = 2 + 28
-10k = 2 + 28

Combine like terms: 2 + 28 = 30
-10k = 30

Divide each side by '-10'.
k = -3

Simplifying
k = -3

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