40+4r=-7(r+8)+8

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Solution for 40+4r=-7(r+8)+8 equation: 


Simplifying
40 + 4r = -7(r + 8) + 8

Reorder the terms:
40 + 4r = -7(8 + r) + 8
40 + 4r = (8 * -7 + r * -7) + 8
40 + 4r = (-56 + -7r) + 8

Reorder the terms:
40 + 4r = -56 + 8 + -7r

Combine like terms: -56 + 8 = -48
40 + 4r = -48 + -7r

Solving
40 + 4r = -48 + -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.
40 + 4r + 7r = -48 + -7r + 7r

Combine like terms: 4r + 7r = 11r
40 + 11r = -48 + -7r + 7r

Combine like terms: -7r + 7r = 0
40 + 11r = -48 + 0
40 + 11r = -48

Add '-40' to each side of the equation.
40 + -40 + 11r = -48 + -40

Combine like terms: 40 + -40 = 0
0 + 11r = -48 + -40
11r = -48 + -40

Combine like terms: -48 + -40 = -88
11r = -88

Divide each side by '11'.
r = -8

Simplifying
r = -8

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