2 Answers

SYN · Answer 1 · 2022-01-10T10:23:42+0000

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\sf \: 2 \left( 4- ( 1 )/( 3 ) u \right) = -u+2$

Use the distributive property to multiply 2 by
$\sf 4-(1)/(3)u$ .

$\sf \: 8+2\left(-(1)/(3)\right)u=-u+2$

Express
$\sf2\left(-(1)/(3)\right)$ as a single fraction.

$\sf \: 8+(2\left(-1\right))/(3)u=-u+2$

Multiply 2 and -1 to get -2.

$\sf \: 8+(-2)/(3)u=-u+2$

Add u to both sides.

$\sf \: 8-(2)/(3)u+u=2$

Combine
$\sf-(2)/(3)u$ and u to get
$\sf(1)/(3)u$ .

$\sf \: 8+(1)/(3)u=2$

Subtract 8 from both sides.

$\sf(1)/(3)u=2-8$

Subtract 8 from 2 to get -6.

$\sf(1)/(3)u=-6$

Multiply both sides by 3, which is the reciprocal of 1/3.

$\sf \: u=-6* 3$

Multiply -6 and 3 to get -18.

$\boxed{ \boxed{\bf \: u=-18 }}$

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