6(p+7)-(p-9)=11p-3

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Solution for 6(p+7)-(p-9)=11p-3 equation:


Simplifying
6(p + 7) + -1(p + -9) = 11p + -3

Reorder the terms:
6(7 + p) + -1(p + -9) = 11p + -3
(7 * 6 + p * 6) + -1(p + -9) = 11p + -3
(42 + 6p) + -1(p + -9) = 11p + -3

Reorder the terms:
42 + 6p + -1(-9 + p) = 11p + -3
42 + 6p + (-9 * -1 + p * -1) = 11p + -3
42 + 6p + (9 + -1p) = 11p + -3

Reorder the terms:
42 + 9 + 6p + -1p = 11p + -3

Combine like terms: 42 + 9 = 51
51 + 6p + -1p = 11p + -3

Combine like terms: 6p + -1p = 5p
51 + 5p = 11p + -3

Reorder the terms:
51 + 5p = -3 + 11p

Solving
51 + 5p = -3 + 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.
51 + 5p + -11p = -3 + 11p + -11p

Combine like terms: 5p + -11p = -6p
51 + -6p = -3 + 11p + -11p

Combine like terms: 11p + -11p = 0
51 + -6p = -3 + 0
51 + -6p = -3

Add '-51' to each side of the equation.
51 + -51 + -6p = -3 + -51

Combine like terms: 51 + -51 = 0
0 + -6p = -3 + -51
-6p = -3 + -51

Combine like terms: -3 + -51 = -54
-6p = -54

Divide each side by '-6'.
p = 9

Simplifying
p = 9

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