4(r*r)+48=4r+24+4(r*r)-8r

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Solution for 4(r*r)+48=4r+24+4(r*r)-8r equation:


Simplifying
4(r * r) + 48 = 4r + 24 + 4(r * r) + -8r

Multiply r * r
4(r2) + 48 = 4r + 24 + 4(r * r) + -8r

Reorder the terms:
48 + 4r2 = 4r + 24 + 4(r * r) + -8r

Multiply r * r
48 + 4r2 = 4r + 24 + 4(r2) + -8r

Reorder the terms:
48 + 4r2 = 24 + 4r + -8r + 4r2

Combine like terms: 4r + -8r = -4r
48 + 4r2 = 24 + -4r + 4r2

Add '-4r2' to each side of the equation.
48 + 4r2 + -4r2 = 24 + -4r + 4r2 + -4r2

Combine like terms: 4r2 + -4r2 = 0
48 + 0 = 24 + -4r + 4r2 + -4r2
48 = 24 + -4r + 4r2 + -4r2

Combine like terms: 4r2 + -4r2 = 0
48 = 24 + -4r + 0
48 = 24 + -4r

Solving
48 = 24 + -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.
48 + 4r = 24 + -4r + 4r

Combine like terms: -4r + 4r = 0
48 + 4r = 24 + 0
48 + 4r = 24

Add '-48' to each side of the equation.
48 + -48 + 4r = 24 + -48

Combine like terms: 48 + -48 = 0
0 + 4r = 24 + -48
4r = 24 + -48

Combine like terms: 24 + -48 = -24
4r = -24

Divide each side by '4'.
r = -6

Simplifying
r = -6

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