5r-8(r+7)=2

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Solution for 5r-8(r+7)=2 equation:


Simplifying
5r + -8(r + 7) = 2

Reorder the terms:
5r + -8(7 + r) = 2
5r + (7 * -8 + r * -8) = 2
5r + (-56 + -8r) = 2

Reorder the terms:
-56 + 5r + -8r = 2

Combine like terms: 5r + -8r = -3r
-56 + -3r = 2

Solving
-56 + -3r = 2

Solving for variable 'r'.

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

Add '56' to each side of the equation.
-56 + 56 + -3r = 2 + 56

Combine like terms: -56 + 56 = 0
0 + -3r = 2 + 56
-3r = 2 + 56

Combine like terms: 2 + 56 = 58
-3r = 58

Divide each side by '-3'.
r = -19.33333333

Simplifying
r = -19.33333333

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