42+6k=-6(k-9)

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Solution for 42+6k=-6(k-9) equation:


Simplifying
42 + 6k = -6(k + -9)

Reorder the terms:
42 + 6k = -6(-9 + k)
42 + 6k = (-9 * -6 + k * -6)
42 + 6k = (54 + -6k)

Solving
42 + 6k = 54 + -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.
42 + 6k + 6k = 54 + -6k + 6k

Combine like terms: 6k + 6k = 12k
42 + 12k = 54 + -6k + 6k

Combine like terms: -6k + 6k = 0
42 + 12k = 54 + 0
42 + 12k = 54

Add '-42' to each side of the equation.
42 + -42 + 12k = 54 + -42

Combine like terms: 42 + -42 = 0
0 + 12k = 54 + -42
12k = 54 + -42

Combine like terms: 54 + -42 = 12
12k = 12

Divide each side by '12'.
k = 1

Simplifying
k = 1

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