(P+q)+7=7(p+q)

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Solution for (P+q)+7=7(p+q) equation:


Simplifying
(P + q) + 7 = 7(p + q)

Remove parenthesis around (P + q)
P + q + 7 = 7(p + q)

Reorder the terms:
7 + P + q = 7(p + q)
7 + P + q = (p * 7 + q * 7)
7 + P + q = (7p + 7q)

Solving
7 + P + q = 7p + 7q

Solving for variable 'P'.

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

Add '-7' to each side of the equation.
7 + P + -7 + q = 7p + -7 + 7q

Reorder the terms:
7 + -7 + P + q = 7p + -7 + 7q

Combine like terms: 7 + -7 = 0
0 + P + q = 7p + -7 + 7q
P + q = 7p + -7 + 7q

Reorder the terms:
P + q = -7 + 7p + 7q

Add '-1q' to each side of the equation.
P + q + -1q = -7 + 7p + 7q + -1q

Combine like terms: q + -1q = 0
P + 0 = -7 + 7p + 7q + -1q
P = -7 + 7p + 7q + -1q

Combine like terms: 7q + -1q = 6q
P = -7 + 7p + 6q

Simplifying
P = -7 + 7p + 6q

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