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

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

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

Reorder the terms:
3(14 + 3k) = 10k + -2(k + -7)
(14 * 3 + 3k * 3) = 10k + -2(k + -7)
(42 + 9k) = 10k + -2(k + -7)

Reorder the terms:
42 + 9k = 10k + -2(-7 + k)
42 + 9k = 10k + (-7 * -2 + k * -2)
42 + 9k = 10k + (14 + -2k)

Reorder the terms:
42 + 9k = 14 + 10k + -2k

Combine like terms: 10k + -2k = 8k
42 + 9k = 14 + 8k

Solving
42 + 9k = 14 + 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.
42 + 9k + -8k = 14 + 8k + -8k

Combine like terms: 9k + -8k = 1k
42 + 1k = 14 + 8k + -8k

Combine like terms: 8k + -8k = 0
42 + 1k = 14 + 0
42 + 1k = 14

Add '-42' to each side of the equation.
42 + -42 + 1k = 14 + -42

Combine like terms: 42 + -42 = 0
0 + 1k = 14 + -42
1k = 14 + -42

Combine like terms: 14 + -42 = -28
1k = -28

Divide each side by '1'.
k = -28

Simplifying
k = -28