8(r-11)=-5r+5(10-2r)

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Solution for 8(r-11)=-5r+5(10-2r) equation:


Simplifying
8(r + -11) = -5r + 5(10 + -2r)

Reorder the terms:
8(-11 + r) = -5r + 5(10 + -2r)
(-11 * 8 + r * 8) = -5r + 5(10 + -2r)
(-88 + 8r) = -5r + 5(10 + -2r)
-88 + 8r = -5r + (10 * 5 + -2r * 5)
-88 + 8r = -5r + (50 + -10r)

Reorder the terms:
-88 + 8r = 50 + -5r + -10r

Combine like terms: -5r + -10r = -15r
-88 + 8r = 50 + -15r

Solving
-88 + 8r = 50 + -15r

Solving for variable 'r'.

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

Add '15r' to each side of the equation.
-88 + 8r + 15r = 50 + -15r + 15r

Combine like terms: 8r + 15r = 23r
-88 + 23r = 50 + -15r + 15r

Combine like terms: -15r + 15r = 0
-88 + 23r = 50 + 0
-88 + 23r = 50

Add '88' to each side of the equation.
-88 + 88 + 23r = 50 + 88

Combine like terms: -88 + 88 = 0
0 + 23r = 50 + 88
23r = 50 + 88

Combine like terms: 50 + 88 = 138
23r = 138

Divide each side by '23'.
r = 6

Simplifying
r = 6

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