5r-4r=-5(7-r)+5(7-8r)

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Solution for 5r-4r=-5(7-r)+5(7-8r) equation:


Simplifying
5r + -4r = -5(7 + -1r) + 5(7 + -8r)

Combine like terms: 5r + -4r = 1r
1r = -5(7 + -1r) + 5(7 + -8r)
1r = (7 * -5 + -1r * -5) + 5(7 + -8r)
1r = (-35 + 5r) + 5(7 + -8r)
1r = -35 + 5r + (7 * 5 + -8r * 5)
1r = -35 + 5r + (35 + -40r)

Reorder the terms:
1r = -35 + 35 + 5r + -40r

Combine like terms: -35 + 35 = 0
1r = 0 + 5r + -40r
1r = 5r + -40r

Combine like terms: 5r + -40r = -35r
1r = -35r

Solving
1r = -35r

Solving for variable 'r'.

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

Add '35r' to each side of the equation.
1r + 35r = -35r + 35r

Combine like terms: 1r + 35r = 36r
36r = -35r + 35r

Combine like terms: -35r + 35r = 0
36r = 0

Divide each side by '36'.
r = 0

Simplifying
r = 0

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