3(p+7)-(4p-1)=-5(w-3)-(4w-3)

Solution for 3(p+7)-(4p-1)=-5(w-3)-(4w-3) equation:

Simplifying
3(p + 7) + -1(4p + -1) = -5(w + -3) + -1(4w + -3)

Reorder the terms:
3(7 + p) + -1(4p + -1) = -5(w + -3) + -1(4w + -3)
(7 * 3 + p * 3) + -1(4p + -1) = -5(w + -3) + -1(4w + -3)
(21 + 3p) + -1(4p + -1) = -5(w + -3) + -1(4w + -3)

Reorder the terms:
21 + 3p + -1(-1 + 4p) = -5(w + -3) + -1(4w + -3)
21 + 3p + (-1 * -1 + 4p * -1) = -5(w + -3) + -1(4w + -3)
21 + 3p + (1 + -4p) = -5(w + -3) + -1(4w + -3)

Reorder the terms:
21 + 1 + 3p + -4p = -5(w + -3) + -1(4w + -3)

Combine like terms: 21 + 1 = 22
22 + 3p + -4p = -5(w + -3) + -1(4w + -3)

Combine like terms: 3p + -4p = -1p
22 + -1p = -5(w + -3) + -1(4w + -3)

Reorder the terms:
22 + -1p = -5(-3 + w) + -1(4w + -3)
22 + -1p = (-3 * -5 + w * -5) + -1(4w + -3)
22 + -1p = (15 + -5w) + -1(4w + -3)

Reorder the terms:
22 + -1p = 15 + -5w + -1(-3 + 4w)
22 + -1p = 15 + -5w + (-3 * -1 + 4w * -1)
22 + -1p = 15 + -5w + (3 + -4w)

Reorder the terms:
22 + -1p = 15 + 3 + -5w + -4w

Combine like terms: 15 + 3 = 18
22 + -1p = 18 + -5w + -4w

Combine like terms: -5w + -4w = -9w
22 + -1p = 18 + -9w

Solving
22 + -1p = 18 + -9w

Solving for variable 'p'.

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

Add '-22' to each side of the equation.
22 + -22 + -1p = 18 + -22 + -9w

Combine like terms: 22 + -22 = 0
0 + -1p = 18 + -22 + -9w
-1p = 18 + -22 + -9w

Combine like terms: 18 + -22 = -4
-1p = -4 + -9w

Divide each side by '-1'.
p = 4 + 9w

Simplifying
p = 4 + 9w