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Simplifying
7 + -1r2 + -31 + 30 = 0
Reorder the terms:
7 + -31 + 30 + -1r2 = 0
Combine like terms: 7 + -31 = -24
-24 + 30 + -1r2 = 0
Combine like terms: -24 + 30 = 6
6 + -1r2 = 0
Solving
6 + -1r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -1r2 = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -1r2 = 0 + -6
-1r2 = 0 + -6
Combine like terms: 0 + -6 = -6
-1r2 = -6
Divide each side by '-1'.
r2 = 6
Simplifying
r2 = 6
Take the square root of each side:
r = {-2.449489743, 2.449489743}
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