2-1(9k-28)=6-15k

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Solution for 2-1(9k-28)=6-15k equation:


Simplifying
2 + -1(9k + -28) = 6 + -15k

Reorder the terms:
2 + -1(-28 + 9k) = 6 + -15k
2 + (-28 * -1 + 9k * -1) = 6 + -15k
2 + (28 + -9k) = 6 + -15k

Combine like terms: 2 + 28 = 30
30 + -9k = 6 + -15k

Solving
30 + -9k = 6 + -15k

Solving for variable 'k'.

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

Add '15k' to each side of the equation.
30 + -9k + 15k = 6 + -15k + 15k

Combine like terms: -9k + 15k = 6k
30 + 6k = 6 + -15k + 15k

Combine like terms: -15k + 15k = 0
30 + 6k = 6 + 0
30 + 6k = 6

Add '-30' to each side of the equation.
30 + -30 + 6k = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 6k = 6 + -30
6k = 6 + -30

Combine like terms: 6 + -30 = -24
6k = -24

Divide each side by '6'.
k = -4

Simplifying
k = -4

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