78=6(6-3k)-3k

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Solution for 78=6(6-3k)-3k equation:


Simplifying
78 = 6(6 + -3k) + -3k
78 = (6 * 6 + -3k * 6) + -3k
78 = (36 + -18k) + -3k

Combine like terms: -18k + -3k = -21k
78 = 36 + -21k

Solving
78 = 36 + -21k

Solving for variable 'k'.

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

Add '21k' to each side of the equation.
78 + 21k = 36 + -21k + 21k

Combine like terms: -21k + 21k = 0
78 + 21k = 36 + 0
78 + 21k = 36

Add '-78' to each side of the equation.
78 + -78 + 21k = 36 + -78

Combine like terms: 78 + -78 = 0
0 + 21k = 36 + -78
21k = 36 + -78

Combine like terms: 36 + -78 = -42
21k = -42

Divide each side by '21'.
k = -2

Simplifying
k = -2

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