-4(3-7r)+5r=-5r+5(2+8r)

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Solution for -4(3-7r)+5r=-5r+5(2+8r) equation:


Simplifying
-4(3 + -7r) + 5r = -5r + 5(2 + 8r)
(3 * -4 + -7r * -4) + 5r = -5r + 5(2 + 8r)
(-12 + 28r) + 5r = -5r + 5(2 + 8r)

Combine like terms: 28r + 5r = 33r
-12 + 33r = -5r + 5(2 + 8r)
-12 + 33r = -5r + (2 * 5 + 8r * 5)
-12 + 33r = -5r + (10 + 40r)

Reorder the terms:
-12 + 33r = 10 + -5r + 40r

Combine like terms: -5r + 40r = 35r
-12 + 33r = 10 + 35r

Solving
-12 + 33r = 10 + 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.
-12 + 33r + -35r = 10 + 35r + -35r

Combine like terms: 33r + -35r = -2r
-12 + -2r = 10 + 35r + -35r

Combine like terms: 35r + -35r = 0
-12 + -2r = 10 + 0
-12 + -2r = 10

Add '12' to each side of the equation.
-12 + 12 + -2r = 10 + 12

Combine like terms: -12 + 12 = 0
0 + -2r = 10 + 12
-2r = 10 + 12

Combine like terms: 10 + 12 = 22
-2r = 22

Divide each side by '-2'.
r = -11

Simplifying
r = -11

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