43=-r+3(1-3r)

Solution for 43=-r+3(1-3r) equation:

Simplifying
43 = -1r + 3(1 + -3r)
43 = -1r + (1 * 3 + -3r * 3)
43 = -1r + (3 + -9r)

Reorder the terms:
43 = 3 + -1r + -9r

Combine like terms: -1r + -9r = -10r
43 = 3 + -10r

Solving
43 = 3 + -10r

Solving for variable 'r'.

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

Add '10r' to each side of the equation.
43 + 10r = 3 + -10r + 10r

Combine like terms: -10r + 10r = 0
43 + 10r = 3 + 0
43 + 10r = 3

Add '-43' to each side of the equation.
43 + -43 + 10r = 3 + -43

Combine like terms: 43 + -43 = 0
0 + 10r = 3 + -43
10r = 3 + -43

Combine like terms: 3 + -43 = -40
10r = -40

Divide each side by '10'.
r = -4

Simplifying
r = -4