6r+5t-8p+6p+7(2r-4r)=

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Solution for 6r+5t-8p+6p+7(2r-4r)= equation:


Simplifying
6r + 5t + -8p + 6p + 7(2r + -4r) = 0

Combine like terms: 2r + -4r = -2r
6r + 5t + -8p + 6p + 7(-2r) = 0

Remove parenthesis around (-2r)
6r + 5t + -8p + 6p + 7 * -2r = 0

Multiply 7 * -2
6r + 5t + -8p + 6p + -14r = 0

Reorder the terms:
-8p + 6p + 6r + -14r + 5t = 0

Combine like terms: -8p + 6p = -2p
-2p + 6r + -14r + 5t = 0

Combine like terms: 6r + -14r = -8r
-2p + -8r + 5t = 0

Solving
-2p + -8r + 5t = 0

Solving for variable 'p'.

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

Add '8r' to each side of the equation.
-2p + -8r + 8r + 5t = 0 + 8r

Combine like terms: -8r + 8r = 0
-2p + 0 + 5t = 0 + 8r
-2p + 5t = 0 + 8r
Remove the zero:
-2p + 5t = 8r

Add '-5t' to each side of the equation.
-2p + 5t + -5t = 8r + -5t

Combine like terms: 5t + -5t = 0
-2p + 0 = 8r + -5t
-2p = 8r + -5t

Divide each side by '-2'.
p = -4r + 2.5t

Simplifying
p = -4r + 2.5t

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