50=5(2-7r)+3(r-8)

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Solution for 50=5(2-7r)+3(r-8) equation: 


Simplifying
50 = 5(2 + -7r) + 3(r + -8)
50 = (2 * 5 + -7r * 5) + 3(r + -8)
50 = (10 + -35r) + 3(r + -8)

Reorder the terms:
50 = 10 + -35r + 3(-8 + r)
50 = 10 + -35r + (-8 * 3 + r * 3)
50 = 10 + -35r + (-24 + 3r)

Reorder the terms:
50 = 10 + -24 + -35r + 3r

Combine like terms: 10 + -24 = -14
50 = -14 + -35r + 3r

Combine like terms: -35r + 3r = -32r
50 = -14 + -32r

Solving
50 = -14 + -32r

Solving for variable 'r'.

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

Add '32r' to each side of the equation.
50 + 32r = -14 + -32r + 32r

Combine like terms: -32r + 32r = 0
50 + 32r = -14 + 0
50 + 32r = -14

Add '-50' to each side of the equation.
50 + -50 + 32r = -14 + -50

Combine like terms: 50 + -50 = 0
0 + 32r = -14 + -50
32r = -14 + -50

Combine like terms: -14 + -50 = -64
32r = -64

Divide each side by '32'.
r = -2

Simplifying
r = -2

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