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 = 13r
42 + 13r = -14(r + 3)

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

Solving
42 + 13r = -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 + 13r + 14r = -42 + -14r + 14r

Combine like terms: 13r + 14r = 27r
42 + 27r = -42 + -14r + 14r

Combine like terms: -14r + 14r = 0
42 + 27r = -42 + 0
42 + 27r = -42

Add '-42' to each side of the equation.
42 + -42 + 27r = -42 + -42

Combine like terms: 42 + -42 = 0
0 + 27r = -42 + -42
27r = -42 + -42

Combine like terms: -42 + -42 = -84
27r = -84

Divide each side by '27'.
r = -3.111111111

Simplifying
r = -3.111111111