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

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


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

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

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

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

Combine like terms: -2k + -3k = -5k
-7 + -7k = 3 + -5k

Solving
-7 + -7k = 3 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
-7 + -7k + 5k = 3 + -5k + 5k

Combine like terms: -7k + 5k = -2k
-7 + -2k = 3 + -5k + 5k

Combine like terms: -5k + 5k = 0
-7 + -2k = 3 + 0
-7 + -2k = 3

Add '7' to each side of the equation.
-7 + 7 + -2k = 3 + 7

Combine like terms: -7 + 7 = 0
0 + -2k = 3 + 7
-2k = 3 + 7

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

Divide each side by '-2'.
k = -5

Simplifying
k = -5

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