16.8-1.4(k+10)=1.6k-12.2

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Solution for 16.8-1.4(k+10)=1.6k-12.2 equation: 


Simplifying
16.8 + -1.4(k + 10) = 1.6k + -12.2

Reorder the terms:
16.8 + -1.4(10 + k) = 1.6k + -12.2
16.8 + (10 * -1.4 + k * -1.4) = 1.6k + -12.2
16.8 + (-14 + -1.4k) = 1.6k + -12.2

Combine like terms: 16.8 + -14 = 2.8
2.8 + -1.4k = 1.6k + -12.2

Reorder the terms:
2.8 + -1.4k = -12.2 + 1.6k

Solving
2.8 + -1.4k = -12.2 + 1.6k

Solving for variable 'k'.

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

Add '-1.6k' to each side of the equation.
2.8 + -1.4k + -1.6k = -12.2 + 1.6k + -1.6k

Combine like terms: -1.4k + -1.6k = -3k
2.8 + -3k = -12.2 + 1.6k + -1.6k

Combine like terms: 1.6k + -1.6k = 0.0
2.8 + -3k = -12.2 + 0.0
2.8 + -3k = -12.2

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -3k = -12.2 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -3k = -12.2 + -2.8
-3k = -12.2 + -2.8

Combine like terms: -12.2 + -2.8 = -15
-3k = -15

Divide each side by '-3'.
k = 5

Simplifying
k = 5

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