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

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


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

Reorder the terms for easier multiplication:
(4 * 4r * r) = 4r + 24 + (4r * 4r) + -8r

Multiply 4 * 4
(16r * r) = 4r + 24 + (4r * 4r) + -8r

Multiply r * r
(16r2) = 4r + 24 + (4r * 4r) + -8r

Reorder the terms for easier multiplication:
(16r2) = 4r + 24 + (4 * 4r * r) + -8r

Multiply 4 * 4
(16r2) = 4r + 24 + (16r * r) + -8r

Multiply r * r
(16r2) = 4r + 24 + (16r2) + -8r

Reorder the terms:
(16r2) = 24 + 4r + -8r + (16r2)

Combine like terms: 4r + -8r = -4r
(16r2) = 24 + -4r + (16r2)

Add '(-16r2)' to each side of the equation.
(16r2) + (-16r2) = 24 + -4r + (16r2) + (-16r2)

Combine like terms: (16r2) + (-16r2) = 0
0 = 24 + -4r + (16r2) + (-16r2)

Combine like terms: (16r2) + (-16r2) = 0
0 = 24 + -4r + 0
0 = 24 + -4r

Solving
0 = 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.
0 + 4r = 24 + -4r + 4r
Remove the zero:
4r = 24 + -4r + 4r

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

Divide each side by '4'.
r = 6

Simplifying
r = 6

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