3r-(-5)=8[r+(-5)]

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Solution for 3r-(-5)=8[r+(-5)] equation:


Simplifying
3r + -1(-5) = 8[r + (-5)]

Multiply -1 * -5
3r + 5 = 8[r + (-5)]

Reorder the terms:
5 + 3r = 8[r + (-5)]
5 + 3r = 8[r + -5]

Reorder the terms:
5 + 3r = 8[-5 + r]
5 + 3r = [-5 * 8 + r * 8]
5 + 3r = [-40 + 8r]

Solving
5 + 3r = -40 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
5 + 3r + -8r = -40 + 8r + -8r

Combine like terms: 3r + -8r = -5r
5 + -5r = -40 + 8r + -8r

Combine like terms: 8r + -8r = 0
5 + -5r = -40 + 0
5 + -5r = -40

Add '-5' to each side of the equation.
5 + -5 + -5r = -40 + -5

Combine like terms: 5 + -5 = 0
0 + -5r = -40 + -5
-5r = -40 + -5

Combine like terms: -40 + -5 = -45
-5r = -45

Divide each side by '-5'.
r = 9

Simplifying
r = 9

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