2k+40=-2(1-4k)

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Solution for 2k+40=-2(1-4k) equation:


Simplifying
2k + 40 = -2(1 + -4k)

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

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

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

Combine like terms: 8k + -8k = 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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