-13-r=-7+6(r-8)-11

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Solution for -13-r=-7+6(r-8)-11 equation: 


Simplifying
-13 + -1r = -7 + 6(r + -8) + -11

Reorder the terms:
-13 + -1r = -7 + 6(-8 + r) + -11
-13 + -1r = -7 + (-8 * 6 + r * 6) + -11
-13 + -1r = -7 + (-48 + 6r) + -11

Reorder the terms:
-13 + -1r = -7 + -48 + -11 + 6r

Combine like terms: -7 + -48 = -55
-13 + -1r = -55 + -11 + 6r

Combine like terms: -55 + -11 = -66
-13 + -1r = -66 + 6r

Solving
-13 + -1r = -66 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-13 + -1r + -6r = -66 + 6r + -6r

Combine like terms: -1r + -6r = -7r
-13 + -7r = -66 + 6r + -6r

Combine like terms: 6r + -6r = 0
-13 + -7r = -66 + 0
-13 + -7r = -66

Add '13' to each side of the equation.
-13 + 13 + -7r = -66 + 13

Combine like terms: -13 + 13 = 0
0 + -7r = -66 + 13
-7r = -66 + 13

Combine like terms: -66 + 13 = -53
-7r = -53

Divide each side by '-7'.
r = 7.571428571

Simplifying
r = 7.571428571

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