4.6(k+1.2)=2.3(k-2.1)

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Solution for 4.6(k+1.2)=2.3(k-2.1) equation: 


Simplifying
4.6(k + 1.2) = 2.3(k + -2.1)

Reorder the terms:
4.6(1.2 + k) = 2.3(k + -2.1)
(1.2 * 4.6 + k * 4.6) = 2.3(k + -2.1)
(5.52 + 4.6k) = 2.3(k + -2.1)

Reorder the terms:
5.52 + 4.6k = 2.3(-2.1 + k)
5.52 + 4.6k = (-2.1 * 2.3 + k * 2.3)
5.52 + 4.6k = (-4.83 + 2.3k)

Solving
5.52 + 4.6k = -4.83 + 2.3k

Solving for variable 'k'.

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

Add '-2.3k' to each side of the equation.
5.52 + 4.6k + -2.3k = -4.83 + 2.3k + -2.3k

Combine like terms: 4.6k + -2.3k = 2.3k
5.52 + 2.3k = -4.83 + 2.3k + -2.3k

Combine like terms: 2.3k + -2.3k = 0.0
5.52 + 2.3k = -4.83 + 0.0
5.52 + 2.3k = -4.83

Add '-5.52' to each side of the equation.
5.52 + -5.52 + 2.3k = -4.83 + -5.52

Combine like terms: 5.52 + -5.52 = 0.00
0.00 + 2.3k = -4.83 + -5.52
2.3k = -4.83 + -5.52

Combine like terms: -4.83 + -5.52 = -10.35
2.3k = -10.35

Divide each side by '2.3'.
k = -4.5

Simplifying
k = -4.5

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