-6(r-7)=-54

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Solution for -6(r-7)=-54 equation:


Simplifying
-6(r + -7) = -54

Reorder the terms:
-6(-7 + r) = -54
(-7 * -6 + r * -6) = -54
(42 + -6r) = -54

Solving
42 + -6r = -54

Solving for variable 'r'.

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

Add '-42' to each side of the equation.
42 + -42 + -6r = -54 + -42

Combine like terms: 42 + -42 = 0
0 + -6r = -54 + -42
-6r = -54 + -42

Combine like terms: -54 + -42 = -96
-6r = -96

Divide each side by '-6'.
r = 16

Simplifying
r = 16

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