2-7k=-4(k+1)-3

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Solution for 2-7k=-4(k+1)-3 equation: 


Simplifying
2 + -7k = -4(k + 1) + -3

Reorder the terms:
2 + -7k = -4(1 + k) + -3
2 + -7k = (1 * -4 + k * -4) + -3
2 + -7k = (-4 + -4k) + -3

Reorder the terms:
2 + -7k = -4 + -3 + -4k

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

Solving
2 + -7k = -7 + -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.
2 + -7k + 4k = -7 + -4k + 4k

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

Combine like terms: -4k + 4k = 0
2 + -3k = -7 + 0
2 + -3k = -7

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

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

Combine like terms: -7 + -2 = -9
-3k = -9

Divide each side by '-3'.
k = 3

Simplifying
k = 3

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