-7(3p+7)=-7(5p+1)

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Solution for -7(3p+7)=-7(5p+1) equation:


Simplifying
-7(3p + 7) = -7(5p + 1)

Reorder the terms:
-7(7 + 3p) = -7(5p + 1)
(7 * -7 + 3p * -7) = -7(5p + 1)
(-49 + -21p) = -7(5p + 1)

Reorder the terms:
-49 + -21p = -7(1 + 5p)
-49 + -21p = (1 * -7 + 5p * -7)
-49 + -21p = (-7 + -35p)

Solving
-49 + -21p = -7 + -35p

Solving for variable 'p'.

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

Add '35p' to each side of the equation.
-49 + -21p + 35p = -7 + -35p + 35p

Combine like terms: -21p + 35p = 14p
-49 + 14p = -7 + -35p + 35p

Combine like terms: -35p + 35p = 0
-49 + 14p = -7 + 0
-49 + 14p = -7

Add '49' to each side of the equation.
-49 + 49 + 14p = -7 + 49

Combine like terms: -49 + 49 = 0
0 + 14p = -7 + 49
14p = -7 + 49

Combine like terms: -7 + 49 = 42
14p = 42

Divide each side by '14'.
p = 3

Simplifying
p = 3

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