-2(k+9)-(-6k-3)=3k

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Solution for -2(k+9)-(-6k-3)=3k equation:


Simplifying
-2(k + 9) + -1(-6k + -3) = 3k

Reorder the terms:
-2(9 + k) + -1(-6k + -3) = 3k
(9 * -2 + k * -2) + -1(-6k + -3) = 3k
(-18 + -2k) + -1(-6k + -3) = 3k

Reorder the terms:
-18 + -2k + -1(-3 + -6k) = 3k
-18 + -2k + (-3 * -1 + -6k * -1) = 3k
-18 + -2k + (3 + 6k) = 3k

Reorder the terms:
-18 + 3 + -2k + 6k = 3k

Combine like terms: -18 + 3 = -15
-15 + -2k + 6k = 3k

Combine like terms: -2k + 6k = 4k
-15 + 4k = 3k

Solving
-15 + 4k = 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
-15 + 4k + -3k = 3k + -3k

Combine like terms: 4k + -3k = 1k
-15 + 1k = 3k + -3k

Combine like terms: 3k + -3k = 0
-15 + 1k = 0

Add '15' to each side of the equation.
-15 + 15 + 1k = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 1k = 0 + 15
1k = 0 + 15

Combine like terms: 0 + 15 = 15
1k = 15

Divide each side by '1'.
k = 15

Simplifying
k = 15

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