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

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


Simplifying
-4r + 8(-3r + 2) = 5(-1r + 7) + 4

Reorder the terms:
-4r + 8(2 + -3r) = 5(-1r + 7) + 4
-4r + (2 * 8 + -3r * 8) = 5(-1r + 7) + 4
-4r + (16 + -24r) = 5(-1r + 7) + 4

Reorder the terms:
16 + -4r + -24r = 5(-1r + 7) + 4

Combine like terms: -4r + -24r = -28r
16 + -28r = 5(-1r + 7) + 4

Reorder the terms:
16 + -28r = 5(7 + -1r) + 4
16 + -28r = (7 * 5 + -1r * 5) + 4
16 + -28r = (35 + -5r) + 4

Reorder the terms:
16 + -28r = 35 + 4 + -5r

Combine like terms: 35 + 4 = 39
16 + -28r = 39 + -5r

Solving
16 + -28r = 39 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
16 + -28r + 5r = 39 + -5r + 5r

Combine like terms: -28r + 5r = -23r
16 + -23r = 39 + -5r + 5r

Combine like terms: -5r + 5r = 0
16 + -23r = 39 + 0
16 + -23r = 39

Add '-16' to each side of the equation.
16 + -16 + -23r = 39 + -16

Combine like terms: 16 + -16 = 0
0 + -23r = 39 + -16
-23r = 39 + -16

Combine like terms: 39 + -16 = 23
-23r = 23

Divide each side by '-23'.
r = -1

Simplifying
r = -1

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