-(2k-6)=5(1+8k)+5

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Solution for -(2k-6)=5(1+8k)+5 equation:


Simplifying
-1(2k + -6) = 5(1 + 8k) + 5

Reorder the terms:
-1(-6 + 2k) = 5(1 + 8k) + 5
(-6 * -1 + 2k * -1) = 5(1 + 8k) + 5
(6 + -2k) = 5(1 + 8k) + 5
6 + -2k = (1 * 5 + 8k * 5) + 5
6 + -2k = (5 + 40k) + 5

Reorder the terms:
6 + -2k = 5 + 5 + 40k

Combine like terms: 5 + 5 = 10
6 + -2k = 10 + 40k

Solving
6 + -2k = 10 + 40k

Solving for variable 'k'.

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

Add '-40k' to each side of the equation.
6 + -2k + -40k = 10 + 40k + -40k

Combine like terms: -2k + -40k = -42k
6 + -42k = 10 + 40k + -40k

Combine like terms: 40k + -40k = 0
6 + -42k = 10 + 0
6 + -42k = 10

Add '-6' to each side of the equation.
6 + -6 + -42k = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -42k = 10 + -6
-42k = 10 + -6

Combine like terms: 10 + -6 = 4
-42k = 4

Divide each side by '-42'.
k = -0.09523809524

Simplifying
k = -0.09523809524

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