-2(3-7k)+8=4(k+1)

Solution for -2(3-7k)+8=4(k+1) equation:

Simplifying
-2(3 + -7k) + 8 = 4(k + 1)
(3 * -2 + -7k * -2) + 8 = 4(k + 1)
(-6 + 14k) + 8 = 4(k + 1)

Reorder the terms:
-6 + 8 + 14k = 4(k + 1)

Combine like terms: -6 + 8 = 2
2 + 14k = 4(k + 1)

Reorder the terms:
2 + 14k = 4(1 + k)
2 + 14k = (1 * 4 + k * 4)
2 + 14k = (4 + 4k)

Solving
2 + 14k = 4 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
2 + 14k + -4k = 4 + 4k + -4k

Combine like terms: 14k + -4k = 10k
2 + 10k = 4 + 4k + -4k

Combine like terms: 4k + -4k = 0
2 + 10k = 4 + 0
2 + 10k = 4

Add '-2' to each side of the equation.
2 + -2 + 10k = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 10k = 4 + -2
10k = 4 + -2

Combine like terms: 4 + -2 = 2
10k = 2

Divide each side by '10'.
k = 0.2

Simplifying
k = 0.2