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

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


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

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

Reorder the terms:
4 + -4k + 4k = -4k + -4(k + -3)

Combine like terms: -4k + 4k = 0
4 + 0 = -4k + -4(k + -3)
4 = -4k + -4(k + -3)

Reorder the terms:
4 = -4k + -4(-3 + k)
4 = -4k + (-3 * -4 + k * -4)
4 = -4k + (12 + -4k)

Reorder the terms:
4 = 12 + -4k + -4k

Combine like terms: -4k + -4k = -8k
4 = 12 + -8k

Solving
4 = 12 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
4 + 8k = 12 + -8k + 8k

Combine like terms: -8k + 8k = 0
4 + 8k = 12 + 0
4 + 8k = 12

Add '-4' to each side of the equation.
4 + -4 + 8k = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 8k = 12 + -4
8k = 12 + -4

Combine like terms: 12 + -4 = 8
8k = 8

Divide each side by '8'.
k = 1

Simplifying
k = 1

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