-4r-8(11r-5)=-10(10r-4)

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Solution for -4r-8(11r-5)=-10(10r-4) equation:


Simplifying
-4r + -8(11r + -5) = -10(10r + -4)

Reorder the terms:
-4r + -8(-5 + 11r) = -10(10r + -4)
-4r + (-5 * -8 + 11r * -8) = -10(10r + -4)
-4r + (40 + -88r) = -10(10r + -4)

Reorder the terms:
40 + -4r + -88r = -10(10r + -4)

Combine like terms: -4r + -88r = -92r
40 + -92r = -10(10r + -4)

Reorder the terms:
40 + -92r = -10(-4 + 10r)
40 + -92r = (-4 * -10 + 10r * -10)
40 + -92r = (40 + -100r)

Add '-40' to each side of the equation.
40 + -40 + -92r = 40 + -40 + -100r

Combine like terms: 40 + -40 = 0
0 + -92r = 40 + -40 + -100r
-92r = 40 + -40 + -100r

Combine like terms: 40 + -40 = 0
-92r = 0 + -100r
-92r = -100r

Solving
-92r = -100r

Solving for variable 'r'.

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

Add '100r' to each side of the equation.
-92r + 100r = -100r + 100r

Combine like terms: -92r + 100r = 8r
8r = -100r + 100r

Combine like terms: -100r + 100r = 0
8r = 0

Divide each side by '8'.
r = 0

Simplifying
r = 0

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