5r-8(r+6)=22+7r

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Solution for 5r-8(r+6)=22+7r equation:


Simplifying
5r + -8(r + 6) = 22 + 7r

Reorder the terms:
5r + -8(6 + r) = 22 + 7r
5r + (6 * -8 + r * -8) = 22 + 7r
5r + (-48 + -8r) = 22 + 7r

Reorder the terms:
-48 + 5r + -8r = 22 + 7r

Combine like terms: 5r + -8r = -3r
-48 + -3r = 22 + 7r

Solving
-48 + -3r = 22 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-48 + -3r + -7r = 22 + 7r + -7r

Combine like terms: -3r + -7r = -10r
-48 + -10r = 22 + 7r + -7r

Combine like terms: 7r + -7r = 0
-48 + -10r = 22 + 0
-48 + -10r = 22

Add '48' to each side of the equation.
-48 + 48 + -10r = 22 + 48

Combine like terms: -48 + 48 = 0
0 + -10r = 22 + 48
-10r = 22 + 48

Combine like terms: 22 + 48 = 70
-10r = 70

Divide each side by '-10'.
r = -7

Simplifying
r = -7

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