-2(k+2)-(3k-3)=-6k

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Solution for -2(k+2)-(3k-3)=-6k equation:


Simplifying
-2(k + 2) + -1(3k + -3) = -6k

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

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

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

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

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

Solving
-1 + -5k = -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-1 + -5k + 6k = -6k + 6k

Combine like terms: -5k + 6k = 1k
-1 + 1k = -6k + 6k

Combine like terms: -6k + 6k = 0
-1 + 1k = 0

Add '1' to each side of the equation.
-1 + 1 + 1k = 0 + 1

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

Combine like terms: 0 + 1 = 1
1k = 1

Divide each side by '1'.
k = 1

Simplifying
k = 1

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