103=5r+8(-4r-4)

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Solution for 103=5r+8(-4r-4) equation: 


Simplifying
103 = 5r + 8(-4r + -4)

Reorder the terms:
103 = 5r + 8(-4 + -4r)
103 = 5r + (-4 * 8 + -4r * 8)
103 = 5r + (-32 + -32r)

Reorder the terms:
103 = -32 + 5r + -32r

Combine like terms: 5r + -32r = -27r
103 = -32 + -27r

Solving
103 = -32 + -27r

Solving for variable 'r'.

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

Add '27r' to each side of the equation.
103 + 27r = -32 + -27r + 27r

Combine like terms: -27r + 27r = 0
103 + 27r = -32 + 0
103 + 27r = -32

Add '-103' to each side of the equation.
103 + -103 + 27r = -32 + -103

Combine like terms: 103 + -103 = 0
0 + 27r = -32 + -103
27r = -32 + -103

Combine like terms: -32 + -103 = -135
27r = -135

Divide each side by '27'.
r = -5

Simplifying
r = -5

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