-184=-7(7r-4)-4r

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Solution for -184=-7(7r-4)-4r equation:


Simplifying
-184 = -7(7r + -4) + -4r

Reorder the terms:
-184 = -7(-4 + 7r) + -4r
-184 = (-4 * -7 + 7r * -7) + -4r
-184 = (28 + -49r) + -4r

Combine like terms: -49r + -4r = -53r
-184 = 28 + -53r

Solving
-184 = 28 + -53r

Solving for variable 'r'.

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

Add '53r' to each side of the equation.
-184 + 53r = 28 + -53r + 53r

Combine like terms: -53r + 53r = 0
-184 + 53r = 28 + 0
-184 + 53r = 28

Add '184' to each side of the equation.
-184 + 184 + 53r = 28 + 184

Combine like terms: -184 + 184 = 0
0 + 53r = 28 + 184
53r = 28 + 184

Combine like terms: 28 + 184 = 212
53r = 212

Divide each side by '53'.
r = 4

Simplifying
r = 4

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