10-4(p+7)=2(1-p)

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Solution for 10-4(p+7)=2(1-p) equation:


Simplifying
10 + -4(p + 7) = 2(1 + -1p)

Reorder the terms:
10 + -4(7 + p) = 2(1 + -1p)
10 + (7 * -4 + p * -4) = 2(1 + -1p)
10 + (-28 + -4p) = 2(1 + -1p)

Combine like terms: 10 + -28 = -18
-18 + -4p = 2(1 + -1p)
-18 + -4p = (1 * 2 + -1p * 2)
-18 + -4p = (2 + -2p)

Solving
-18 + -4p = 2 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
-18 + -4p + 2p = 2 + -2p + 2p

Combine like terms: -4p + 2p = -2p
-18 + -2p = 2 + -2p + 2p

Combine like terms: -2p + 2p = 0
-18 + -2p = 2 + 0
-18 + -2p = 2

Add '18' to each side of the equation.
-18 + 18 + -2p = 2 + 18

Combine like terms: -18 + 18 = 0
0 + -2p = 2 + 18
-2p = 2 + 18

Combine like terms: 2 + 18 = 20
-2p = 20

Divide each side by '-2'.
p = -10

Simplifying
p = -10

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