2(p+5)-3(p-7)=43

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Solution for 2(p+5)-3(p-7)=43 equation: 


Simplifying
2(p + 5) + -3(p + -7) = 43

Reorder the terms:
2(5 + p) + -3(p + -7) = 43
(5 * 2 + p * 2) + -3(p + -7) = 43
(10 + 2p) + -3(p + -7) = 43

Reorder the terms:
10 + 2p + -3(-7 + p) = 43
10 + 2p + (-7 * -3 + p * -3) = 43
10 + 2p + (21 + -3p) = 43

Reorder the terms:
10 + 21 + 2p + -3p = 43

Combine like terms: 10 + 21 = 31
31 + 2p + -3p = 43

Combine like terms: 2p + -3p = -1p
31 + -1p = 43

Solving
31 + -1p = 43

Solving for variable 'p'.

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

Add '-31' to each side of the equation.
31 + -31 + -1p = 43 + -31

Combine like terms: 31 + -31 = 0
0 + -1p = 43 + -31
-1p = 43 + -31

Combine like terms: 43 + -31 = 12
-1p = 12

Divide each side by '-1'.
p = -12

Simplifying
p = -12

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