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

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


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

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

Combine like terms: 5 + -2 = 3
3 + -2k = 3k + 2 + -7k + 1

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -2k = 3 + -3 + -4k

Combine like terms: 3 + -3 = 0
0 + -2k = 3 + -3 + -4k
-2k = 3 + -3 + -4k

Combine like terms: 3 + -3 = 0
-2k = 0 + -4k
-2k = -4k

Solving
-2k = -4k

Solving for variable 'k'.

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

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

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

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

Divide each side by '2'.
k = 0

Simplifying
k = 0

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