-6(3-6r)=-18+4r — step-by-step solution

Let's solve in

ℝ

-6 \cdot (3 - 6 r) = - 18 + 4 r

- 6 \cdot (3 - 6 r) + 18 - 4 r = 0

ⓘ Expand by multiplying each term inside the parentheses:

- 6 \cdot (3 - 6 r)

- (18 - 36 r)

- (18 - 36 r) + 18 - 4 r = 0

ⓘ A minus sign before a parenthesis changes the sign of each of its terms:

- (18 - 36 r)

- 18 + 36 r

- 18

+ 36 r

+ 18

- 4 r = 0

ⓘ Start from

-18

and move forward

18

on the number line, up to zero:

- 18 + 18

0

■Like terms are grouped by adding their coefficients:

36 r - 4 r

32 r

0 + 32 r = 0

ⓘ Adding 0 changes nothing:

0 + 32 r

32 r

32 r = 0

We simplify the expression by

32

⇥Let's solve in

ℝ

r = 0

▶Solution obtained:

r = 0