4(9k+14)-(-2k+14)=

Solution for 4(9k+14)-(-2k+14)= equation:

Simplifying
4(9k + 14) + -1(-2k + 14) = 0

Reorder the terms:
4(14 + 9k) + -1(-2k + 14) = 0
(14 * 4 + 9k * 4) + -1(-2k + 14) = 0
(56 + 36k) + -1(-2k + 14) = 0

Reorder the terms:
56 + 36k + -1(14 + -2k) = 0
56 + 36k + (14 * -1 + -2k * -1) = 0
56 + 36k + (-14 + 2k) = 0

Reorder the terms:
56 + -14 + 36k + 2k = 0

Combine like terms: 56 + -14 = 42
42 + 36k + 2k = 0

Combine like terms: 36k + 2k = 38k
42 + 38k = 0

Solving
42 + 38k = 0

Solving for variable 'k'.

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

Add '-42' to each side of the equation.
42 + -42 + 38k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 38k = 0 + -42
38k = 0 + -42

Combine like terms: 0 + -42 = -42
38k = -42

Divide each side by '38'.
k = -1.105263158

Simplifying
k = -1.105263158