-11(r-7)=-3(r+9)

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Solution for -11(r-7)=-3(r+9) equation:


Simplifying
-11(r + -7) = -3(r + 9)

Reorder the terms:
-11(-7 + r) = -3(r + 9)
(-7 * -11 + r * -11) = -3(r + 9)
(77 + -11r) = -3(r + 9)

Reorder the terms:
77 + -11r = -3(9 + r)
77 + -11r = (9 * -3 + r * -3)
77 + -11r = (-27 + -3r)

Solving
77 + -11r = -27 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
77 + -11r + 3r = -27 + -3r + 3r

Combine like terms: -11r + 3r = -8r
77 + -8r = -27 + -3r + 3r

Combine like terms: -3r + 3r = 0
77 + -8r = -27 + 0
77 + -8r = -27

Add '-77' to each side of the equation.
77 + -77 + -8r = -27 + -77

Combine like terms: 77 + -77 = 0
0 + -8r = -27 + -77
-8r = -27 + -77

Combine like terms: -27 + -77 = -104
-8r = -104

Divide each side by '-8'.
r = 13

Simplifying
r = 13

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