5(2r+8)=27-3r

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Solution for 5(2r+8)=27-3r equation:


Simplifying
5(2r + 8) = 27 + -3r

Reorder the terms:
5(8 + 2r) = 27 + -3r
(8 * 5 + 2r * 5) = 27 + -3r
(40 + 10r) = 27 + -3r

Solving
40 + 10r = 27 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
40 + 10r + 3r = 27 + -3r + 3r

Combine like terms: 10r + 3r = 13r
40 + 13r = 27 + -3r + 3r

Combine like terms: -3r + 3r = 0
40 + 13r = 27 + 0
40 + 13r = 27

Add '-40' to each side of the equation.
40 + -40 + 13r = 27 + -40

Combine like terms: 40 + -40 = 0
0 + 13r = 27 + -40
13r = 27 + -40

Combine like terms: 27 + -40 = -13
13r = -13

Divide each side by '13'.
r = -1

Simplifying
r = -1

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