9-(14p-10)+4p=11(p+2)+8

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Solution for 9-(14p-10)+4p=11(p+2)+8 equation:


Simplifying
9 + -1(14p + -10) + 4p = 11(p + 2) + 8

Reorder the terms:
9 + -1(-10 + 14p) + 4p = 11(p + 2) + 8
9 + (-10 * -1 + 14p * -1) + 4p = 11(p + 2) + 8
9 + (10 + -14p) + 4p = 11(p + 2) + 8

Combine like terms: 9 + 10 = 19
19 + -14p + 4p = 11(p + 2) + 8

Combine like terms: -14p + 4p = -10p
19 + -10p = 11(p + 2) + 8

Reorder the terms:
19 + -10p = 11(2 + p) + 8
19 + -10p = (2 * 11 + p * 11) + 8
19 + -10p = (22 + 11p) + 8

Reorder the terms:
19 + -10p = 22 + 8 + 11p

Combine like terms: 22 + 8 = 30
19 + -10p = 30 + 11p

Solving
19 + -10p = 30 + 11p

Solving for variable 'p'.

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

Add '-11p' to each side of the equation.
19 + -10p + -11p = 30 + 11p + -11p

Combine like terms: -10p + -11p = -21p
19 + -21p = 30 + 11p + -11p

Combine like terms: 11p + -11p = 0
19 + -21p = 30 + 0
19 + -21p = 30

Add '-19' to each side of the equation.
19 + -19 + -21p = 30 + -19

Combine like terms: 19 + -19 = 0
0 + -21p = 30 + -19
-21p = 30 + -19

Combine like terms: 30 + -19 = 11
-21p = 11

Divide each side by '-21'.
p = -0.5238095238

Simplifying
p = -0.5238095238

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