6(k-2)=0.75+(9+3k)

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Solution for 6(k-2)=0.75+(9+3k) equation:


Simplifying
6(k + -2) = 0.75 + (9 + 3k)

Reorder the terms:
6(-2 + k) = 0.75 + (9 + 3k)
(-2 * 6 + k * 6) = 0.75 + (9 + 3k)
(-12 + 6k) = 0.75 + (9 + 3k)

Remove parenthesis around (9 + 3k)
-12 + 6k = 0.75 + 9 + 3k

Combine like terms: 0.75 + 9 = 9.75
-12 + 6k = 9.75 + 3k

Solving
-12 + 6k = 9.75 + 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.
-12 + 6k + -3k = 9.75 + 3k + -3k

Combine like terms: 6k + -3k = 3k
-12 + 3k = 9.75 + 3k + -3k

Combine like terms: 3k + -3k = 0
-12 + 3k = 9.75 + 0
-12 + 3k = 9.75

Add '12' to each side of the equation.
-12 + 12 + 3k = 9.75 + 12

Combine like terms: -12 + 12 = 0
0 + 3k = 9.75 + 12
3k = 9.75 + 12

Combine like terms: 9.75 + 12 = 21.75
3k = 21.75

Divide each side by '3'.
k = 7.25

Simplifying
k = 7.25

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