2(k+5)-3(k-1)=k-7

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Solution for 2(k+5)-3(k-1)=k-7 equation: 


Simplifying
2(k + 5) + -3(k + -1) = k + -7

Reorder the terms:
2(5 + k) + -3(k + -1) = k + -7
(5 * 2 + k * 2) + -3(k + -1) = k + -7
(10 + 2k) + -3(k + -1) = k + -7

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

Reorder the terms:
10 + 3 + 2k + -3k = k + -7

Combine like terms: 10 + 3 = 13
13 + 2k + -3k = k + -7

Combine like terms: 2k + -3k = -1k
13 + -1k = k + -7

Reorder the terms:
13 + -1k = -7 + k

Solving
13 + -1k = -7 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
13 + -1k + -1k = -7 + k + -1k

Combine like terms: -1k + -1k = -2k
13 + -2k = -7 + k + -1k

Combine like terms: k + -1k = 0
13 + -2k = -7 + 0
13 + -2k = -7

Add '-13' to each side of the equation.
13 + -13 + -2k = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -2k = -7 + -13
-2k = -7 + -13

Combine like terms: -7 + -13 = -20
-2k = -20

Divide each side by '-2'.
k = 10

Simplifying
k = 10

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