Question

What is the value of r in the equation?
-1.5(4-1)=-12
-6

Answer 1

`\boxed{\sf r = - 4}`

Explanation:

`\sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies ( - 1.5(4 - r))/( - 1.5) = ( - 12)/( - 1.5) \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = ( - 20)/( - 1.5) \\ \\ \sf ( - 20)/( - 1.5) = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r * ( - 1) = 4 * ( - 1) \\ \\ \sf - r * ( - 1) = r : \\ \sf \implies r = 4 * ( - 1) \\ \\ \sf \implies r = - 4`

Answer 2

-4

Explanation:

-1.5 (4-r) = -12 Distribute the -1.5.

-6 - 1.5r = -12 Add 6 to both sides.

-1.5r = 6 Divide both sides by -1.5.

r = -4