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

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

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

Reorder the terms:
3(4 + r) = -6(2r + -7)
(4 * 3 + r * 3) = -6(2r + -7)
(12 + 3r) = -6(2r + -7)

Reorder the terms:
12 + 3r = -6(-7 + 2r)
12 + 3r = (-7 * -6 + 2r * -6)
12 + 3r = (42 + -12r)

Solving
12 + 3r = 42 + -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.
12 + 3r + 12r = 42 + -12r + 12r

Combine like terms: 3r + 12r = 15r
12 + 15r = 42 + -12r + 12r

Combine like terms: -12r + 12r = 0
12 + 15r = 42 + 0
12 + 15r = 42

Add '-12' to each side of the equation.
12 + -12 + 15r = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 15r = 42 + -12
15r = 42 + -12

Combine like terms: 42 + -12 = 30
15r = 30

Divide each side by '15'.
r = 2

Simplifying
r = 2