-(-3)1-1k+(-2)(2-k)-(-3)(k+2)=0

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Solution for -(-3)1-1k+(-2)(2-k)-(-3)(k+2)=0 equation:


Simplifying
-1(-3) * 1 + -1k + (-2)(2 + -1k) + -1(-3)(k + 2) = 0

Multiply -1 * -3
3 * 1 + -1k + (-2)(2 + -1k) + -1(-3)(k + 2) = 0

Multiply 3 * 1
3 + -1k + (-2)(2 + -1k) + -1(-3)(k + 2) = 0
3 + -1k + (2 * -2 + -1k * -2) + -1(-3)(k + 2) = 0
3 + -1k + (-4 + 2k) + -1(-3)(k + 2) = 0

Reorder the terms:
3 + -1k + -4 + 2k + -1 * -3(2 + k) = 0

Multiply -1 * -3
3 + -1k + -4 + 2k + 3(2 + k) = 0
3 + -1k + -4 + 2k + (2 * 3 + k * 3) = 0
3 + -1k + -4 + 2k + (6 + 3k) = 0

Reorder the terms:
3 + -4 + 6 + -1k + 2k + 3k = 0

Combine like terms: 3 + -4 = -1
-1 + 6 + -1k + 2k + 3k = 0

Combine like terms: -1 + 6 = 5
5 + -1k + 2k + 3k = 0

Combine like terms: -1k + 2k = 1k
5 + 1k + 3k = 0

Combine like terms: 1k + 3k = 4k
5 + 4k = 0

Solving
5 + 4k = 0

Solving for variable 'k'.

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

Add '-5' to each side of the equation.
5 + -5 + 4k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4k = 0 + -5
4k = 0 + -5

Combine like terms: 0 + -5 = -5
4k = -5

Divide each side by '4'.
k = -1.25

Simplifying
k = -1.25

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