5(5r+1)+8(r-2)=55

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Solution for 5(5r+1)+8(r-2)=55 equation:


Simplifying
5(5r + 1) + 8(r + -2) = 55

Reorder the terms:
5(1 + 5r) + 8(r + -2) = 55
(1 * 5 + 5r * 5) + 8(r + -2) = 55
(5 + 25r) + 8(r + -2) = 55

Reorder the terms:
5 + 25r + 8(-2 + r) = 55
5 + 25r + (-2 * 8 + r * 8) = 55
5 + 25r + (-16 + 8r) = 55

Reorder the terms:
5 + -16 + 25r + 8r = 55

Combine like terms: 5 + -16 = -11
-11 + 25r + 8r = 55

Combine like terms: 25r + 8r = 33r
-11 + 33r = 55

Solving
-11 + 33r = 55

Solving for variable 'r'.

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

Add '11' to each side of the equation.
-11 + 11 + 33r = 55 + 11

Combine like terms: -11 + 11 = 0
0 + 33r = 55 + 11
33r = 55 + 11

Combine like terms: 55 + 11 = 66
33r = 66

Divide each side by '33'.
r = 2

Simplifying
r = 2

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