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

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


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

Reorder the terms:
7r + -4(-8 + 2r) = 7r + 3 + -1(-7)
7r + (-8 * -4 + 2r * -4) = 7r + 3 + -1(-7)
7r + (32 + -8r) = 7r + 3 + -1(-7)

Reorder the terms:
32 + 7r + -8r = 7r + 3 + -1(-7)

Combine like terms: 7r + -8r = -1r
32 + -1r = 7r + 3 + -1(-7)

Multiply -1 * -7
32 + -1r = 7r + 3 + 7

Reorder the terms:
32 + -1r = 3 + 7 + 7r

Combine like terms: 3 + 7 = 10
32 + -1r = 10 + 7r

Solving
32 + -1r = 10 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
32 + -1r + -7r = 10 + 7r + -7r

Combine like terms: -1r + -7r = -8r
32 + -8r = 10 + 7r + -7r

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

Add '-32' to each side of the equation.
32 + -32 + -8r = 10 + -32

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

Combine like terms: 10 + -32 = -22
-8r = -22

Divide each side by '-8'.
r = 2.75

Simplifying
r = 2.75

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