7(1-9r)-5(7r-7)=42

Solution for 7(1-9r)-5(7r-7)=42 equation:

Simplifying
7(1 + -9r) + -5(7r + -7) = 42
(1 * 7 + -9r * 7) + -5(7r + -7) = 42
(7 + -63r) + -5(7r + -7) = 42

Reorder the terms:
7 + -63r + -5(-7 + 7r) = 42
7 + -63r + (-7 * -5 + 7r * -5) = 42
7 + -63r + (35 + -35r) = 42

Reorder the terms:
7 + 35 + -63r + -35r = 42

Combine like terms: 7 + 35 = 42
42 + -63r + -35r = 42

Combine like terms: -63r + -35r = -98r
42 + -98r = 42

Add '-42' to each side of the equation.
42 + -42 + -98r = 42 + -42

Combine like terms: 42 + -42 = 0
0 + -98r = 42 + -42
-98r = 42 + -42

Combine like terms: 42 + -42 = 0
-98r = 0

Solving
-98r = 0

Solving for variable 'r'.

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

Divide each side by '-98'.
r = 0

Simplifying
r = 0