-3(k-1)-(-4k-7)=-4

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

Simplifying
-3(k + -1) + -1(-4k + -7) = -4

Reorder the terms:
-3(-1 + k) + -1(-4k + -7) = -4
(-1 * -3 + k * -3) + -1(-4k + -7) = -4
(3 + -3k) + -1(-4k + -7) = -4

Reorder the terms:
3 + -3k + -1(-7 + -4k) = -4
3 + -3k + (-7 * -1 + -4k * -1) = -4
3 + -3k + (7 + 4k) = -4

Reorder the terms:
3 + 7 + -3k + 4k = -4

Combine like terms: 3 + 7 = 10
10 + -3k + 4k = -4

Combine like terms: -3k + 4k = 1k
10 + 1k = -4

Solving
10 + 1k = -4

Solving for variable 'k'.

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

Add '-10' to each side of the equation.
10 + -10 + 1k = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 1k = -4 + -10
1k = -4 + -10

Combine like terms: -4 + -10 = -14
1k = -14

Divide each side by '1'.
k = -14

Simplifying
k = -14