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

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


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

Reorder the terms:
7(8 + r) + -4 = -4(-7 + -1r)
(8 * 7 + r * 7) + -4 = -4(-7 + -1r)
(56 + 7r) + -4 = -4(-7 + -1r)

Reorder the terms:
56 + -4 + 7r = -4(-7 + -1r)

Combine like terms: 56 + -4 = 52
52 + 7r = -4(-7 + -1r)
52 + 7r = (-7 * -4 + -1r * -4)
52 + 7r = (28 + 4r)

Solving
52 + 7r = 28 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
52 + 7r + -4r = 28 + 4r + -4r

Combine like terms: 7r + -4r = 3r
52 + 3r = 28 + 4r + -4r

Combine like terms: 4r + -4r = 0
52 + 3r = 28 + 0
52 + 3r = 28

Add '-52' to each side of the equation.
52 + -52 + 3r = 28 + -52

Combine like terms: 52 + -52 = 0
0 + 3r = 28 + -52
3r = 28 + -52

Combine like terms: 28 + -52 = -24
3r = -24

Divide each side by '3'.
r = -8

Simplifying
r = -8

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