-7(r+3)-4r=-6(1+2r)

Solution for -7(r+3)-4r=-6(1+2r) equation:

Simplifying
-7(r + 3) + -4r = -6(1 + 2r)

Reorder the terms:
-7(3 + r) + -4r = -6(1 + 2r)
(3 * -7 + r * -7) + -4r = -6(1 + 2r)
(-21 + -7r) + -4r = -6(1 + 2r)

Combine like terms: -7r + -4r = -11r
-21 + -11r = -6(1 + 2r)
-21 + -11r = (1 * -6 + 2r * -6)
-21 + -11r = (-6 + -12r)

Solving
-21 + -11r = -6 + -12r

Solving for variable 'r'.

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

Add '12r' to each side of the equation.
-21 + -11r + 12r = -6 + -12r + 12r

Combine like terms: -11r + 12r = 1r
-21 + 1r = -6 + -12r + 12r

Combine like terms: -12r + 12r = 0
-21 + 1r = -6 + 0
-21 + 1r = -6

Add '21' to each side of the equation.
-21 + 21 + 1r = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 1r = -6 + 21
1r = -6 + 21

Combine like terms: -6 + 21 = 15
1r = 15

Divide each side by '1'.
r = 15

Simplifying
r = 15