-48=8(5r-7)-(-8-r)

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Solution for -48=8(5r-7)-(-8-r) equation: 


Simplifying
-48 = 8(5r + -7) + -1(-8 + -1r)

Reorder the terms:
-48 = 8(-7 + 5r) + -1(-8 + -1r)
-48 = (-7 * 8 + 5r * 8) + -1(-8 + -1r)
-48 = (-56 + 40r) + -1(-8 + -1r)
-48 = -56 + 40r + (-8 * -1 + -1r * -1)
-48 = -56 + 40r + (8 + 1r)

Reorder the terms:
-48 = -56 + 8 + 40r + 1r

Combine like terms: -56 + 8 = -48
-48 = -48 + 40r + 1r

Combine like terms: 40r + 1r = 41r
-48 = -48 + 41r

Add '48' to each side of the equation.
-48 + 48 = -48 + 48 + 41r

Combine like terms: -48 + 48 = 0
0 = -48 + 48 + 41r

Combine like terms: -48 + 48 = 0
0 = 0 + 41r
0 = 41r

Solving
0 = 41r

Solving for variable 'r'.

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

Add '-41r' to each side of the equation.
0 + -41r = 41r + -41r
Remove the zero:
-41r = 41r + -41r

Combine like terms: 41r + -41r = 0
-41r = 0

Divide each side by '-41'.
r = 0

Simplifying
r = 0

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