8p-6=-2(9p+2)+5(8+p)

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Solution for 8p-6=-2(9p+2)+5(8+p) equation:


Simplifying
8p + -6 = -2(9p + 2) + 5(8 + p)

Reorder the terms:
-6 + 8p = -2(9p + 2) + 5(8 + p)

Reorder the terms:
-6 + 8p = -2(2 + 9p) + 5(8 + p)
-6 + 8p = (2 * -2 + 9p * -2) + 5(8 + p)
-6 + 8p = (-4 + -18p) + 5(8 + p)
-6 + 8p = -4 + -18p + (8 * 5 + p * 5)
-6 + 8p = -4 + -18p + (40 + 5p)

Reorder the terms:
-6 + 8p = -4 + 40 + -18p + 5p

Combine like terms: -4 + 40 = 36
-6 + 8p = 36 + -18p + 5p

Combine like terms: -18p + 5p = -13p
-6 + 8p = 36 + -13p

Solving
-6 + 8p = 36 + -13p

Solving for variable 'p'.

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

Add '13p' to each side of the equation.
-6 + 8p + 13p = 36 + -13p + 13p

Combine like terms: 8p + 13p = 21p
-6 + 21p = 36 + -13p + 13p

Combine like terms: -13p + 13p = 0
-6 + 21p = 36 + 0
-6 + 21p = 36

Add '6' to each side of the equation.
-6 + 6 + 21p = 36 + 6

Combine like terms: -6 + 6 = 0
0 + 21p = 36 + 6
21p = 36 + 6

Combine like terms: 36 + 6 = 42
21p = 42

Divide each side by '21'.
p = 2

Simplifying
p = 2

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