How do you solve $- k + 2.8 (5.4 k - 6.8) = 150.4$ $-k + 2.8( 5.4k - 6.8) = 150.4$ ?

Question

800 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-08T20:56:21

$k = 12$ $k=12$

Solve:

$- k + 2.8 (5.4 k - 6.8) = 150.4$ $-k+2.8(5.4k-6.8)=150.4$

Expand.

$- k + 2.8 \cdot 5.4 k - 2.8 \cdot 6.8 = 150.4$ $-k+2.8*5.4k-2.8*6.8=150.4$

Simplify.

$- k + 15.12 k - 19.04 = 150.4$ $-k+15.12k-19.04=150.4$

Simplify.

$14.12 k - 19.04 = 150.4$ $14.12k-19.04=150.4$

Add $19.04$ $19.04$ to both sides.

$14.12 k - 19.04 + 19.04 = 150.4 + 19.04$ $14.12k-19.04+19.04=150.4+19.04$

Simplify.

$14.12 k + 0 = 169.44$ $14.12k+0=169.44$

$14.12 k = 169.44$ $14.12k=169.44$

Divide both sides by $14.12$ $14.12$ .

$(color(red)cancel(color(black)(14.12))^1k)/(color(red)cancel(color(black)(14.12)))^1=169.44/14.12$

Simplify.

$k=12$

How do you solve -k + 2.8( 5.4k - 6.8) = 150.4−k+2.8(5.4k−6.8)=150.4-k + 2.8( 5.4k - 6.8) = 150.4?