5r+13=-6(1-4r)

Solution for 5r+13=-6(1-4r) equation:

Simplifying
5r + 13 = -6(1 + -4r)

Reorder the terms:
13 + 5r = -6(1 + -4r)
13 + 5r = (1 * -6 + -4r * -6)
13 + 5r = (-6 + 24r)

Solving
13 + 5r = -6 + 24r

Solving for variable 'r'.

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

Add '-24r' to each side of the equation.
13 + 5r + -24r = -6 + 24r + -24r

Combine like terms: 5r + -24r = -19r
13 + -19r = -6 + 24r + -24r

Combine like terms: 24r + -24r = 0
13 + -19r = -6 + 0
13 + -19r = -6

Add '-13' to each side of the equation.
13 + -13 + -19r = -6 + -13

Combine like terms: 13 + -13 = 0
0 + -19r = -6 + -13
-19r = -6 + -13

Combine like terms: -6 + -13 = -19
-19r = -19

Divide each side by '-19'.
r = 1

Simplifying
r = 1