(4p-4q+8r)-6(-4p+3q-4r)=

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Solution for (4p-4q+8r)-6(-4p+3q-4r)= equation:


Simplifying
(4p + -4q + 8r) + -6(-4p + 3q + -4r) = 0

Remove parenthesis around (4p + -4q + 8r)
4p + -4q + 8r + -6(-4p + 3q + -4r) = 0
4p + -4q + 8r + (-4p * -6 + 3q * -6 + -4r * -6) = 0
4p + -4q + 8r + (24p + -18q + 24r) = 0

Reorder the terms:
4p + 24p + -4q + -18q + 8r + 24r = 0

Combine like terms: 4p + 24p = 28p
28p + -4q + -18q + 8r + 24r = 0

Combine like terms: -4q + -18q = -22q
28p + -22q + 8r + 24r = 0

Combine like terms: 8r + 24r = 32r
28p + -22q + 32r = 0

Solving
28p + -22q + 32r = 0

Solving for variable 'p'.

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

Add '22q' to each side of the equation.
28p + -22q + 22q + 32r = 0 + 22q

Combine like terms: -22q + 22q = 0
28p + 0 + 32r = 0 + 22q
28p + 32r = 0 + 22q
Remove the zero:
28p + 32r = 22q

Add '-32r' to each side of the equation.
28p + 32r + -32r = 22q + -32r

Combine like terms: 32r + -32r = 0
28p + 0 = 22q + -32r
28p = 22q + -32r

Divide each side by '28'.
p = 0.7857142857q + -1.142857143r

Simplifying
p = 0.7857142857q + -1.142857143r

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