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

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


Simplifying
2(5r + 8) + -4(2r + -4) + -7r = 0

Reorder the terms:
2(8 + 5r) + -4(2r + -4) + -7r = 0
(8 * 2 + 5r * 2) + -4(2r + -4) + -7r = 0
(16 + 10r) + -4(2r + -4) + -7r = 0

Reorder the terms:
16 + 10r + -4(-4 + 2r) + -7r = 0
16 + 10r + (-4 * -4 + 2r * -4) + -7r = 0
16 + 10r + (16 + -8r) + -7r = 0

Reorder the terms:
16 + 16 + 10r + -8r + -7r = 0

Combine like terms: 16 + 16 = 32
32 + 10r + -8r + -7r = 0

Combine like terms: 10r + -8r = 2r
32 + 2r + -7r = 0

Combine like terms: 2r + -7r = -5r
32 + -5r = 0

Solving
32 + -5r = 0

Solving for variable 'r'.

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

Add '-32' to each side of the equation.
32 + -32 + -5r = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -5r = 0 + -32
-5r = 0 + -32

Combine like terms: 0 + -32 = -32
-5r = -32

Divide each side by '-5'.
r = 6.4

Simplifying
r = 6.4

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