-9(p-7)+11(p-6)=p-2p

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Solution for -9(p-7)+11(p-6)=p-2p equation:


Simplifying
-9(p + -7) + 11(p + -6) = p + -2p

Reorder the terms:
-9(-7 + p) + 11(p + -6) = p + -2p
(-7 * -9 + p * -9) + 11(p + -6) = p + -2p
(63 + -9p) + 11(p + -6) = p + -2p

Reorder the terms:
63 + -9p + 11(-6 + p) = p + -2p
63 + -9p + (-6 * 11 + p * 11) = p + -2p
63 + -9p + (-66 + 11p) = p + -2p

Reorder the terms:
63 + -66 + -9p + 11p = p + -2p

Combine like terms: 63 + -66 = -3
-3 + -9p + 11p = p + -2p

Combine like terms: -9p + 11p = 2p
-3 + 2p = p + -2p

Combine like terms: p + -2p = -1p
-3 + 2p = -1p

Solving
-3 + 2p = -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-3 + 2p + p = -1p + p

Combine like terms: 2p + p = 3p
-3 + 3p = -1p + p

Combine like terms: -1p + p = 0
-3 + 3p = 0

Add '3' to each side of the equation.
-3 + 3 + 3p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3p = 0 + 3
3p = 0 + 3

Combine like terms: 0 + 3 = 3
3p = 3

Divide each side by '3'.
p = 1

Simplifying
p = 1

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