8(2p-4)-9(p+2)=10-5p

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Solution for 8(2p-4)-9(p+2)=10-5p equation:


Simplifying
8(2p + -4) + -9(p + 2) = 10 + -5p

Reorder the terms:
8(-4 + 2p) + -9(p + 2) = 10 + -5p
(-4 * 8 + 2p * 8) + -9(p + 2) = 10 + -5p
(-32 + 16p) + -9(p + 2) = 10 + -5p

Reorder the terms:
-32 + 16p + -9(2 + p) = 10 + -5p
-32 + 16p + (2 * -9 + p * -9) = 10 + -5p
-32 + 16p + (-18 + -9p) = 10 + -5p

Reorder the terms:
-32 + -18 + 16p + -9p = 10 + -5p

Combine like terms: -32 + -18 = -50
-50 + 16p + -9p = 10 + -5p

Combine like terms: 16p + -9p = 7p
-50 + 7p = 10 + -5p

Solving
-50 + 7p = 10 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
-50 + 7p + 5p = 10 + -5p + 5p

Combine like terms: 7p + 5p = 12p
-50 + 12p = 10 + -5p + 5p

Combine like terms: -5p + 5p = 0
-50 + 12p = 10 + 0
-50 + 12p = 10

Add '50' to each side of the equation.
-50 + 50 + 12p = 10 + 50

Combine like terms: -50 + 50 = 0
0 + 12p = 10 + 50
12p = 10 + 50

Combine like terms: 10 + 50 = 60
12p = 60

Divide each side by '12'.
p = 5

Simplifying
p = 5

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