8r+7=38r+13

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Solution for 8r+7=38r+13 equation:


Simplifying
8r + 7 = 38r + 13

Reorder the terms:
7 + 8r = 38r + 13

Reorder the terms:
7 + 8r = 13 + 38r

Solving
7 + 8r = 13 + 38r

Solving for variable 'r'.

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

Add '-38r' to each side of the equation.
7 + 8r + -38r = 13 + 38r + -38r

Combine like terms: 8r + -38r = -30r
7 + -30r = 13 + 38r + -38r

Combine like terms: 38r + -38r = 0
7 + -30r = 13 + 0
7 + -30r = 13

Add '-7' to each side of the equation.
7 + -7 + -30r = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -30r = 13 + -7
-30r = 13 + -7

Combine like terms: 13 + -7 = 6
-30r = 6

Divide each side by '-30'.
r = -0.2

Simplifying
r = -0.2

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