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

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


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

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

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

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

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

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

Combine like terms: 6r + 5r = 11r
-2p + 11r + -14r = x

Combine like terms: 11r + -14r = -3r
-2p + -3r = x

Solving
-2p + -3r = x

Solving for variable 'p'.

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

Add '3r' to each side of the equation.
-2p + -3r + 3r = 3r + x

Combine like terms: -3r + 3r = 0
-2p + 0 = 3r + x
-2p = 3r + x

Divide each side by '-2'.
p = -1.5r + -0.5x

Simplifying
p = -1.5r + -0.5x

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