7.3(k+3)=4.5-3(1.2-k)

Solution for 7.3(k+3)=4.5-3(1.2-k) equation:

Simplifying
7.3(k + 3) = 4.5 + -3(1.2 + -1k)

Reorder the terms:
7.3(3 + k) = 4.5 + -3(1.2 + -1k)
(3 * 7.3 + k * 7.3) = 4.5 + -3(1.2 + -1k)
(21.9 + 7.3k) = 4.5 + -3(1.2 + -1k)
21.9 + 7.3k = 4.5 + (1.2 * -3 + -1k * -3)
21.9 + 7.3k = 4.5 + (-3.6 + 3k)

Combine like terms: 4.5 + -3.6 = 0.9
21.9 + 7.3k = 0.9 + 3k

Solving
21.9 + 7.3k = 0.9 + 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.
21.9 + 7.3k + -3k = 0.9 + 3k + -3k

Combine like terms: 7.3k + -3k = 4.3k
21.9 + 4.3k = 0.9 + 3k + -3k

Combine like terms: 3k + -3k = 0
21.9 + 4.3k = 0.9 + 0
21.9 + 4.3k = 0.9

Add '-21.9' to each side of the equation.
21.9 + -21.9 + 4.3k = 0.9 + -21.9

Combine like terms: 21.9 + -21.9 = 0.0
0.0 + 4.3k = 0.9 + -21.9
4.3k = 0.9 + -21.9

Combine like terms: 0.9 + -21.9 = -21
4.3k = -21

Divide each side by '4.3'.
k = -4.88372093

Simplifying
k = -4.88372093