10-4(p+7)=4(15-w)

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Solution for 10-4(p+7)=4(15-w) equation:


Simplifying
10 + -4(p + 7) = 4(15 + -1w)

Reorder the terms:
10 + -4(7 + p) = 4(15 + -1w)
10 + (7 * -4 + p * -4) = 4(15 + -1w)
10 + (-28 + -4p) = 4(15 + -1w)

Combine like terms: 10 + -28 = -18
-18 + -4p = 4(15 + -1w)
-18 + -4p = (15 * 4 + -1w * 4)
-18 + -4p = (60 + -4w)

Solving
-18 + -4p = 60 + -4w

Solving for variable 'p'.

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

Add '18' to each side of the equation.
-18 + 18 + -4p = 60 + 18 + -4w

Combine like terms: -18 + 18 = 0
0 + -4p = 60 + 18 + -4w
-4p = 60 + 18 + -4w

Combine like terms: 60 + 18 = 78
-4p = 78 + -4w

Divide each side by '-4'.
p = -19.5 + w

Simplifying
p = -19.5 + w

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