3(4k+14)=10k-2(k*7)

Solution for 3(4k+14)=10k-2(k*7) equation:

Simplifying
3(4k + 14) = 10k + -2(k * 7)

Reorder the terms:
3(14 + 4k) = 10k + -2(k * 7)
(14 * 3 + 4k * 3) = 10k + -2(k * 7)
(42 + 12k) = 10k + -2(k * 7)

Reorder the terms for easier multiplication:
42 + 12k = 10k + -2(7k)

Remove parenthesis around (7k)
42 + 12k = 10k + -2 * 7k

Multiply -2 * 7
42 + 12k = 10k + -14k

Combine like terms: 10k + -14k = -4k
42 + 12k = -4k

Solving
42 + 12k = -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.
42 + 12k + 4k = -4k + 4k

Combine like terms: 12k + 4k = 16k
42 + 16k = -4k + 4k

Combine like terms: -4k + 4k = 0
42 + 16k = 0

Add '-42' to each side of the equation.
42 + -42 + 16k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 16k = 0 + -42
16k = 0 + -42

Combine like terms: 0 + -42 = -42
16k = -42

Divide each side by '16'.
k = -2.625

Simplifying
k = -2.625