7r+18+3r=r+6r+21

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Solution for 7r+18+3r=r+6r+21 equation:


Simplifying
7r + 18 + 3r = r + 6r + 21

Reorder the terms:
18 + 7r + 3r = r + 6r + 21

Combine like terms: 7r + 3r = 10r
18 + 10r = r + 6r + 21

Reorder the terms:
18 + 10r = 21 + r + 6r

Combine like terms: r + 6r = 7r
18 + 10r = 21 + 7r

Solving
18 + 10r = 21 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
18 + 10r + -7r = 21 + 7r + -7r

Combine like terms: 10r + -7r = 3r
18 + 3r = 21 + 7r + -7r

Combine like terms: 7r + -7r = 0
18 + 3r = 21 + 0
18 + 3r = 21

Add '-18' to each side of the equation.
18 + -18 + 3r = 21 + -18

Combine like terms: 18 + -18 = 0
0 + 3r = 21 + -18
3r = 21 + -18

Combine like terms: 21 + -18 = 3
3r = 3

Divide each side by '3'.
r = 1

Simplifying
r = 1

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