[2p-(5t+q)+(-9p-3t)+(8q+6t)+t-3p-5q]=

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Solution for [2p-(5t+q)+(-9p-3t)+(8q+6t)+t-3p-5q]= equation:


Simplifying
[2p + -1(5t + q) + (-9p + -3t) + (8q + 6t) + t + -3p + -5q] = 0

Reorder the terms:
[2p + -1(q + 5t) + (-9p + -3t) + (8q + 6t) + t + -3p + -5q] = 0
[2p + (q * -1 + 5t * -1) + (-9p + -3t) + (8q + 6t) + t + -3p + -5q] = 0
[2p + (-1q + -5t) + (-9p + -3t) + (8q + 6t) + t + -3p + -5q] = 0

Remove parenthesis around (-9p + -3t)
[2p + -1q + -5t + -9p + -3t + (8q + 6t) + t + -3p + -5q] = 0

Remove parenthesis around (8q + 6t)
[2p + -1q + -5t + -9p + -3t + 8q + 6t + t + -3p + -5q] = 0

Reorder the terms:
[2p + -9p + -3p + -1q + 8q + -5q + -5t + -3t + 6t + t] = 0

Combine like terms: 2p + -9p = -7p
[-7p + -3p + -1q + 8q + -5q + -5t + -3t + 6t + t] = 0

Combine like terms: -7p + -3p = -10p
[-10p + -1q + 8q + -5q + -5t + -3t + 6t + t] = 0

Combine like terms: -1q + 8q = 7q
[-10p + 7q + -5q + -5t + -3t + 6t + t] = 0

Combine like terms: 7q + -5q = 2q
[-10p + 2q + -5t + -3t + 6t + t] = 0

Combine like terms: -5t + -3t = -8t
[-10p + 2q + -8t + 6t + t] = 0

Combine like terms: -8t + 6t = -2t
[-10p + 2q + -2t + t] = 0

Combine like terms: -2t + t = -1t
[-10p + 2q + -1t] = 0

Remove brackets around [-10p + 2q + -1t]
-10p + 2q + -1t = 0

Solving
-10p + 2q + -1t = 0

Solving for variable 'p'.

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

Add '-2q' to each side of the equation.
-10p + 2q + -2q + -1t = 0 + -2q

Combine like terms: 2q + -2q = 0
-10p + 0 + -1t = 0 + -2q
-10p + -1t = 0 + -2q
Remove the zero:
-10p + -1t = -2q

Add 't' to each side of the equation.
-10p + -1t + t = -2q + t

Combine like terms: -1t + t = 0
-10p + 0 = -2q + t
-10p = -2q + t

Divide each side by '-10'.
p = 0.2q + -0.1t

Simplifying
p = 0.2q + -0.1t

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