-4(2k-10)=-2(k+1)

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Solution for -4(2k-10)=-2(k+1) equation: 


Simplifying
-4(2k + -10) = -2(k + 1)

Reorder the terms:
-4(-10 + 2k) = -2(k + 1)
(-10 * -4 + 2k * -4) = -2(k + 1)
(40 + -8k) = -2(k + 1)

Reorder the terms:
40 + -8k = -2(1 + k)
40 + -8k = (1 * -2 + k * -2)
40 + -8k = (-2 + -2k)

Solving
40 + -8k = -2 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
40 + -8k + 2k = -2 + -2k + 2k

Combine like terms: -8k + 2k = -6k
40 + -6k = -2 + -2k + 2k

Combine like terms: -2k + 2k = 0
40 + -6k = -2 + 0
40 + -6k = -2

Add '-40' to each side of the equation.
40 + -40 + -6k = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -6k = -2 + -40
-6k = -2 + -40

Combine like terms: -2 + -40 = -42
-6k = -42

Divide each side by '-6'.
k = 7

Simplifying
k = 7

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