4(2r-3)-3(6r+1)=-25

Solution for 4(2r-3)-3(6r+1)=-25 equation:

Simplifying
4(2r + -3) + -3(6r + 1) = -25

Reorder the terms:
4(-3 + 2r) + -3(6r + 1) = -25
(-3 * 4 + 2r * 4) + -3(6r + 1) = -25
(-12 + 8r) + -3(6r + 1) = -25

Reorder the terms:
-12 + 8r + -3(1 + 6r) = -25
-12 + 8r + (1 * -3 + 6r * -3) = -25
-12 + 8r + (-3 + -18r) = -25

Reorder the terms:
-12 + -3 + 8r + -18r = -25

Combine like terms: -12 + -3 = -15
-15 + 8r + -18r = -25

Combine like terms: 8r + -18r = -10r
-15 + -10r = -25

Solving
-15 + -10r = -25

Solving for variable 'r'.

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

Add '15' to each side of the equation.
-15 + 15 + -10r = -25 + 15

Combine like terms: -15 + 15 = 0
0 + -10r = -25 + 15
-10r = -25 + 15

Combine like terms: -25 + 15 = -10
-10r = -10

Divide each side by '-10'.
r = 1

Simplifying
r = 1