2+10(2+8r)=9r-49

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Solution for 2+10(2+8r)=9r-49 equation:


Simplifying
2 + 10(2 + 8r) = 9r + -49
2 + (2 * 10 + 8r * 10) = 9r + -49
2 + (20 + 80r) = 9r + -49

Combine like terms: 2 + 20 = 22
22 + 80r = 9r + -49

Reorder the terms:
22 + 80r = -49 + 9r

Solving
22 + 80r = -49 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
22 + 80r + -9r = -49 + 9r + -9r

Combine like terms: 80r + -9r = 71r
22 + 71r = -49 + 9r + -9r

Combine like terms: 9r + -9r = 0
22 + 71r = -49 + 0
22 + 71r = -49

Add '-22' to each side of the equation.
22 + -22 + 71r = -49 + -22

Combine like terms: 22 + -22 = 0
0 + 71r = -49 + -22
71r = -49 + -22

Combine like terms: -49 + -22 = -71
71r = -71

Divide each side by '71'.
r = -1

Simplifying
r = -1

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