-13-4=-7+6(r-8)-11

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Solution for -13-4=-7+6(r-8)-11 equation:


Simplifying
-13 + -4 = -7 + 6(r + -8) + -11

Combine like terms: -13 + -4 = -17
-17 = -7 + 6(r + -8) + -11

Reorder the terms:
-17 = -7 + 6(-8 + r) + -11
-17 = -7 + (-8 * 6 + r * 6) + -11
-17 = -7 + (-48 + 6r) + -11

Reorder the terms:
-17 = -7 + -48 + -11 + 6r

Combine like terms: -7 + -48 = -55
-17 = -55 + -11 + 6r

Combine like terms: -55 + -11 = -66
-17 = -66 + 6r

Solving
-17 = -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.
-17 + -6r = -66 + 6r + -6r

Combine like terms: 6r + -6r = 0
-17 + -6r = -66 + 0
-17 + -6r = -66

Add '17' to each side of the equation.
-17 + 17 + -6r = -66 + 17

Combine like terms: -17 + 17 = 0
0 + -6r = -66 + 17
-6r = -66 + 17

Combine like terms: -66 + 17 = -49
-6r = -49

Divide each side by '-6'.
r = 8.166666667

Simplifying
r = 8.166666667

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