2(r+3)+3(r+7)-10=

Solution for 2(r+3)+3(r+7)-10= equation:

Simplifying
2(r + 3) + 3(r + 7) + -10 = 0

Reorder the terms:
2(3 + r) + 3(r + 7) + -10 = 0
(3 * 2 + r * 2) + 3(r + 7) + -10 = 0
(6 + 2r) + 3(r + 7) + -10 = 0

Reorder the terms:
6 + 2r + 3(7 + r) + -10 = 0
6 + 2r + (7 * 3 + r * 3) + -10 = 0
6 + 2r + (21 + 3r) + -10 = 0

Reorder the terms:
6 + 21 + -10 + 2r + 3r = 0

Combine like terms: 6 + 21 = 27
27 + -10 + 2r + 3r = 0

Combine like terms: 27 + -10 = 17
17 + 2r + 3r = 0

Combine like terms: 2r + 3r = 5r
17 + 5r = 0

Solving
17 + 5r = 0

Solving for variable 'r'.

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

Add '-17' to each side of the equation.
17 + -17 + 5r = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 5r = 0 + -17
5r = 0 + -17

Combine like terms: 0 + -17 = -17
5r = -17

Divide each side by '5'.
r = -3.4

Simplifying
r = -3.4