-6(k-6)-(3+9k)=-16k

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Solution for -6(k-6)-(3+9k)=-16k equation:


Simplifying
-6(k + -6) + -1(3 + 9k) = -16k

Reorder the terms:
-6(-6 + k) + -1(3 + 9k) = -16k
(-6 * -6 + k * -6) + -1(3 + 9k) = -16k
(36 + -6k) + -1(3 + 9k) = -16k
36 + -6k + (3 * -1 + 9k * -1) = -16k
36 + -6k + (-3 + -9k) = -16k

Reorder the terms:
36 + -3 + -6k + -9k = -16k

Combine like terms: 36 + -3 = 33
33 + -6k + -9k = -16k

Combine like terms: -6k + -9k = -15k
33 + -15k = -16k

Solving
33 + -15k = -16k

Solving for variable 'k'.

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

Add '16k' to each side of the equation.
33 + -15k + 16k = -16k + 16k

Combine like terms: -15k + 16k = 1k
33 + 1k = -16k + 16k

Combine like terms: -16k + 16k = 0
33 + 1k = 0

Add '-33' to each side of the equation.
33 + -33 + 1k = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 1k = 0 + -33
1k = 0 + -33

Combine like terms: 0 + -33 = -33
1k = -33

Divide each side by '1'.
k = -33

Simplifying
k = -33

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