2(2-3p)=9(5-p)+1

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Solution for 2(2-3p)=9(5-p)+1 equation:


Simplifying
2(2 + -3p) = 9(5 + -1p) + 1
(2 * 2 + -3p * 2) = 9(5 + -1p) + 1
(4 + -6p) = 9(5 + -1p) + 1
4 + -6p = (5 * 9 + -1p * 9) + 1
4 + -6p = (45 + -9p) + 1

Reorder the terms:
4 + -6p = 45 + 1 + -9p

Combine like terms: 45 + 1 = 46
4 + -6p = 46 + -9p

Solving
4 + -6p = 46 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
4 + -6p + 9p = 46 + -9p + 9p

Combine like terms: -6p + 9p = 3p
4 + 3p = 46 + -9p + 9p

Combine like terms: -9p + 9p = 0
4 + 3p = 46 + 0
4 + 3p = 46

Add '-4' to each side of the equation.
4 + -4 + 3p = 46 + -4

Combine like terms: 4 + -4 = 0
0 + 3p = 46 + -4
3p = 46 + -4

Combine like terms: 46 + -4 = 42
3p = 42

Divide each side by '3'.
p = 14

Simplifying
p = 14

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