-3(1+7r)=-3+11(10+-1r)

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Solution for -3(1+7r)=-3+11(10+-1r) equation: 


Simplifying
-3(1 + 7r) = -3 + 11(10 + -1r)
(1 * -3 + 7r * -3) = -3 + 11(10 + -1r)
(-3 + -21r) = -3 + 11(10 + -1r)
-3 + -21r = -3 + (10 * 11 + -1r * 11)
-3 + -21r = -3 + (110 + -11r)

Combine like terms: -3 + 110 = 107
-3 + -21r = 107 + -11r

Solving
-3 + -21r = 107 + -11r

Solving for variable 'r'.

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

Add '11r' to each side of the equation.
-3 + -21r + 11r = 107 + -11r + 11r

Combine like terms: -21r + 11r = -10r
-3 + -10r = 107 + -11r + 11r

Combine like terms: -11r + 11r = 0
-3 + -10r = 107 + 0
-3 + -10r = 107

Add '3' to each side of the equation.
-3 + 3 + -10r = 107 + 3

Combine like terms: -3 + 3 = 0
0 + -10r = 107 + 3
-10r = 107 + 3

Combine like terms: 107 + 3 = 110
-10r = 110

Divide each side by '-10'.
r = -11

Simplifying
r = -11

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