10-3(k+2)=7-k

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Solution for 10-3(k+2)=7-k equation: 


Simplifying
10 + -3(k + 2) = 7 + -1k

Reorder the terms:
10 + -3(2 + k) = 7 + -1k
10 + (2 * -3 + k * -3) = 7 + -1k
10 + (-6 + -3k) = 7 + -1k

Combine like terms: 10 + -6 = 4
4 + -3k = 7 + -1k

Solving
4 + -3k = 7 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
4 + -3k + k = 7 + -1k + k

Combine like terms: -3k + k = -2k
4 + -2k = 7 + -1k + k

Combine like terms: -1k + k = 0
4 + -2k = 7 + 0
4 + -2k = 7

Add '-4' to each side of the equation.
4 + -4 + -2k = 7 + -4

Combine like terms: 4 + -4 = 0
0 + -2k = 7 + -4
-2k = 7 + -4

Combine like terms: 7 + -4 = 3
-2k = 3

Divide each side by '-2'.
k = -1.5

Simplifying
k = -1.5

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