-3(14+5r)-2r=14(r+3)

Solution for -3(14+5r)-2r=14(r+3) equation:

Simplifying
-3(14 + 5r) + -2r = 14(r + 3)
(14 * -3 + 5r * -3) + -2r = 14(r + 3)
(-42 + -15r) + -2r = 14(r + 3)

Combine like terms: -15r + -2r = -17r
-42 + -17r = 14(r + 3)

Reorder the terms:
-42 + -17r = 14(3 + r)
-42 + -17r = (3 * 14 + r * 14)
-42 + -17r = (42 + 14r)

Solving
-42 + -17r = 42 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
-42 + -17r + -14r = 42 + 14r + -14r

Combine like terms: -17r + -14r = -31r
-42 + -31r = 42 + 14r + -14r

Combine like terms: 14r + -14r = 0
-42 + -31r = 42 + 0
-42 + -31r = 42

Add '42' to each side of the equation.
-42 + 42 + -31r = 42 + 42

Combine like terms: -42 + 42 = 0
0 + -31r = 42 + 42
-31r = 42 + 42

Combine like terms: 42 + 42 = 84
-31r = 84

Divide each side by '-31'.
r = -2.709677419

Simplifying
r = -2.709677419