-(-1+7k)+6=7(2k+1)+k

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Solution for -(-1+7k)+6=7(2k+1)+k equation:


Simplifying
-1(-1 + 7k) + 6 = 7(2k + 1) + k
(-1 * -1 + 7k * -1) + 6 = 7(2k + 1) + k
(1 + -7k) + 6 = 7(2k + 1) + k

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

Combine like terms: 1 + 6 = 7
7 + -7k = 7(2k + 1) + k

Reorder the terms:
7 + -7k = 7(1 + 2k) + k
7 + -7k = (1 * 7 + 2k * 7) + k
7 + -7k = (7 + 14k) + k

Combine like terms: 14k + k = 15k
7 + -7k = 7 + 15k

Add '-7' to each side of the equation.
7 + -7 + -7k = 7 + -7 + 15k

Combine like terms: 7 + -7 = 0
0 + -7k = 7 + -7 + 15k
-7k = 7 + -7 + 15k

Combine like terms: 7 + -7 = 0
-7k = 0 + 15k
-7k = 15k

Solving
-7k = 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.
-7k + -15k = 15k + -15k

Combine like terms: -7k + -15k = -22k
-22k = 15k + -15k

Combine like terms: 15k + -15k = 0
-22k = 0

Divide each side by '-22'.
k = 0

Simplifying
k = 0

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