-42=6(-9+r)

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Solution for -42=6(-9+r) equation:


Simplifying
-42 = 6(-9 + r)
-42 = (-9 * 6 + r * 6)
-42 = (-54 + 6r)

Solving
-42 = -54 + 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.
-42 + -6r = -54 + 6r + -6r

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

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 = -12
-6r = -12

Divide each side by '-6'.
r = 2

Simplifying
r = 2

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