5=6(r-5)-19

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Solution for 5=6(r-5)-19 equation:


Simplifying
5 = 6(r + -5) + -19

Reorder the terms:
5 = 6(-5 + r) + -19
5 = (-5 * 6 + r * 6) + -19
5 = (-30 + 6r) + -19

Reorder the terms:
5 = -30 + -19 + 6r

Combine like terms: -30 + -19 = -49
5 = -49 + 6r

Solving
5 = -49 + 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.
5 + -6r = -49 + 6r + -6r

Combine like terms: 6r + -6r = 0
5 + -6r = -49 + 0
5 + -6r = -49

Add '-5' to each side of the equation.
5 + -5 + -6r = -49 + -5

Combine like terms: 5 + -5 = 0
0 + -6r = -49 + -5
-6r = -49 + -5

Combine like terms: -49 + -5 = -54
-6r = -54

Divide each side by '-6'.
r = 9

Simplifying
r = 9

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