-2k-5(-2k+2)=6+2(4k-8)

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Solution for -2k-5(-2k+2)=6+2(4k-8) equation:


Simplifying
-2k + -5(-2k + 2) = 6 + 2(4k + -8)

Reorder the terms:
-2k + -5(2 + -2k) = 6 + 2(4k + -8)
-2k + (2 * -5 + -2k * -5) = 6 + 2(4k + -8)
-2k + (-10 + 10k) = 6 + 2(4k + -8)

Reorder the terms:
-10 + -2k + 10k = 6 + 2(4k + -8)

Combine like terms: -2k + 10k = 8k
-10 + 8k = 6 + 2(4k + -8)

Reorder the terms:
-10 + 8k = 6 + 2(-8 + 4k)
-10 + 8k = 6 + (-8 * 2 + 4k * 2)
-10 + 8k = 6 + (-16 + 8k)

Combine like terms: 6 + -16 = -10
-10 + 8k = -10 + 8k

Add '10' to each side of the equation.
-10 + 10 + 8k = -10 + 10 + 8k

Combine like terms: -10 + 10 = 0
0 + 8k = -10 + 10 + 8k
8k = -10 + 10 + 8k

Combine like terms: -10 + 10 = 0
8k = 0 + 8k
8k = 8k

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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