3(2r-14)-3r=13(r-4)

Solution for 3(2r-14)-3r=13(r-4) equation:

Simplifying
3(2r + -14) + -3r = 13(r + -4)

Reorder the terms:
3(-14 + 2r) + -3r = 13(r + -4)
(-14 * 3 + 2r * 3) + -3r = 13(r + -4)
(-42 + 6r) + -3r = 13(r + -4)

Combine like terms: 6r + -3r = 3r
-42 + 3r = 13(r + -4)

Reorder the terms:
-42 + 3r = 13(-4 + r)
-42 + 3r = (-4 * 13 + r * 13)
-42 + 3r = (-52 + 13r)

Solving
-42 + 3r = -52 + 13r

Solving for variable 'r'.

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

Add '-13r' to each side of the equation.
-42 + 3r + -13r = -52 + 13r + -13r

Combine like terms: 3r + -13r = -10r
-42 + -10r = -52 + 13r + -13r

Combine like terms: 13r + -13r = 0
-42 + -10r = -52 + 0
-42 + -10r = -52

Add '42' to each side of the equation.
-42 + 42 + -10r = -52 + 42

Combine like terms: -42 + 42 = 0
0 + -10r = -52 + 42
-10r = -52 + 42

Combine like terms: -52 + 42 = -10
-10r = -10

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

Simplifying
r = 1