-14(p+1)+4(p-7)=-3p-p

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Solution for -14(p+1)+4(p-7)=-3p-p equation:


Simplifying
-14(p + 1) + 4(p + -7) = -3p + -1p

Reorder the terms:
-14(1 + p) + 4(p + -7) = -3p + -1p
(1 * -14 + p * -14) + 4(p + -7) = -3p + -1p
(-14 + -14p) + 4(p + -7) = -3p + -1p

Reorder the terms:
-14 + -14p + 4(-7 + p) = -3p + -1p
-14 + -14p + (-7 * 4 + p * 4) = -3p + -1p
-14 + -14p + (-28 + 4p) = -3p + -1p

Reorder the terms:
-14 + -28 + -14p + 4p = -3p + -1p

Combine like terms: -14 + -28 = -42
-42 + -14p + 4p = -3p + -1p

Combine like terms: -14p + 4p = -10p
-42 + -10p = -3p + -1p

Combine like terms: -3p + -1p = -4p
-42 + -10p = -4p

Solving
-42 + -10p = -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
-42 + -10p + 4p = -4p + 4p

Combine like terms: -10p + 4p = -6p
-42 + -6p = -4p + 4p

Combine like terms: -4p + 4p = 0
-42 + -6p = 0

Add '42' to each side of the equation.
-42 + 42 + -6p = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -6p = 0 + 42
-6p = 0 + 42

Combine like terms: 0 + 42 = 42
-6p = 42

Divide each side by '-6'.
p = -7

Simplifying
p = -7

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