6(4-p)-3(1+p)=1

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Solution for 6(4-p)-3(1+p)=1 equation:


Simplifying
6(4 + -1p) + -3(1 + p) = 1
(4 * 6 + -1p * 6) + -3(1 + p) = 1
(24 + -6p) + -3(1 + p) = 1
24 + -6p + (1 * -3 + p * -3) = 1
24 + -6p + (-3 + -3p) = 1

Reorder the terms:
24 + -3 + -6p + -3p = 1

Combine like terms: 24 + -3 = 21
21 + -6p + -3p = 1

Combine like terms: -6p + -3p = -9p
21 + -9p = 1

Solving
21 + -9p = 1

Solving for variable 'p'.

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

Add '-21' to each side of the equation.
21 + -21 + -9p = 1 + -21

Combine like terms: 21 + -21 = 0
0 + -9p = 1 + -21
-9p = 1 + -21

Combine like terms: 1 + -21 = -20
-9p = -20

Divide each side by '-9'.
p = 2.222222222

Simplifying
p = 2.222222222

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