84=-6(r-8)

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Solution for 84=-6(r-8) equation:


Simplifying
84 = -6(r + -8)

Reorder the terms:
84 = -6(-8 + r)
84 = (-8 * -6 + r * -6)
84 = (48 + -6r)

Solving
84 = 48 + -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.
84 + 6r = 48 + -6r + 6r

Combine like terms: -6r + 6r = 0
84 + 6r = 48 + 0
84 + 6r = 48

Add '-84' to each side of the equation.
84 + -84 + 6r = 48 + -84

Combine like terms: 84 + -84 = 0
0 + 6r = 48 + -84
6r = 48 + -84

Combine like terms: 48 + -84 = -36
6r = -36

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

Simplifying
r = -6

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