-2(k-3)-(-3k+4)=4

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Solution for -2(k-3)-(-3k+4)=4 equation:


Simplifying
-2(k + -3) + -1(-3k + 4) = 4

Reorder the terms:
-2(-3 + k) + -1(-3k + 4) = 4
(-3 * -2 + k * -2) + -1(-3k + 4) = 4
(6 + -2k) + -1(-3k + 4) = 4

Reorder the terms:
6 + -2k + -1(4 + -3k) = 4
6 + -2k + (4 * -1 + -3k * -1) = 4
6 + -2k + (-4 + 3k) = 4

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

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

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

Solving
2 + 1k = 4

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + -2 + 1k = 4 + -2

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

Combine like terms: 4 + -2 = 2
1k = 2

Divide each side by '1'.
k = 2

Simplifying
k = 2

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