2(1-7p)-3(7-6p)=27

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Solution for 2(1-7p)-3(7-6p)=27 equation: 


Simplifying
2(1 + -7p) + -3(7 + -6p) = 27
(1 * 2 + -7p * 2) + -3(7 + -6p) = 27
(2 + -14p) + -3(7 + -6p) = 27
2 + -14p + (7 * -3 + -6p * -3) = 27
2 + -14p + (-21 + 18p) = 27

Reorder the terms:
2 + -21 + -14p + 18p = 27

Combine like terms: 2 + -21 = -19
-19 + -14p + 18p = 27

Combine like terms: -14p + 18p = 4p
-19 + 4p = 27

Solving
-19 + 4p = 27

Solving for variable 'p'.

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

Add '19' to each side of the equation.
-19 + 19 + 4p = 27 + 19

Combine like terms: -19 + 19 = 0
0 + 4p = 27 + 19
4p = 27 + 19

Combine like terms: 27 + 19 = 46
4p = 46

Divide each side by '4'.
p = 11.5

Simplifying
p = 11.5

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