8(r+5)-9(r+3)=5

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Solution for 8(r+5)-9(r+3)=5 equation: 


Simplifying
8(r + 5) + -9(r + 3) = 5

Reorder the terms:
8(5 + r) + -9(r + 3) = 5
(5 * 8 + r * 8) + -9(r + 3) = 5
(40 + 8r) + -9(r + 3) = 5

Reorder the terms:
40 + 8r + -9(3 + r) = 5
40 + 8r + (3 * -9 + r * -9) = 5
40 + 8r + (-27 + -9r) = 5

Reorder the terms:
40 + -27 + 8r + -9r = 5

Combine like terms: 40 + -27 = 13
13 + 8r + -9r = 5

Combine like terms: 8r + -9r = -1r
13 + -1r = 5

Solving
13 + -1r = 5

Solving for variable 'r'.

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

Add '-13' to each side of the equation.
13 + -13 + -1r = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -1r = 5 + -13
-1r = 5 + -13

Combine like terms: 5 + -13 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8

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