10-4(p+7)=(1-p)

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Solution for 10-4(p+7)=(1-p) equation: 


Simplifying
10 + -4(p + 7) = (1 + -1p)

Reorder the terms:
10 + -4(7 + p) = (1 + -1p)
10 + (7 * -4 + p * -4) = (1 + -1p)
10 + (-28 + -4p) = (1 + -1p)

Combine like terms: 10 + -28 = -18
-18 + -4p = (1 + -1p)

Remove parenthesis around (1 + -1p)
-18 + -4p = 1 + -1p

Solving
-18 + -4p = 1 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-18 + -4p + p = 1 + -1p + p

Combine like terms: -4p + p = -3p
-18 + -3p = 1 + -1p + p

Combine like terms: -1p + p = 0
-18 + -3p = 1 + 0
-18 + -3p = 1

Add '18' to each side of the equation.
-18 + 18 + -3p = 1 + 18

Combine like terms: -18 + 18 = 0
0 + -3p = 1 + 18
-3p = 1 + 18

Combine like terms: 1 + 18 = 19
-3p = 19

Divide each side by '-3'.
p = -6.333333333

Simplifying
p = -6.333333333

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