6(p-3)-2p=8+3(p+1)

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Solution for 6(p-3)-2p=8+3(p+1) equation:


Simplifying
6(p + -3) + -2p = 8 + 3(p + 1)

Reorder the terms:
6(-3 + p) + -2p = 8 + 3(p + 1)
(-3 * 6 + p * 6) + -2p = 8 + 3(p + 1)
(-18 + 6p) + -2p = 8 + 3(p + 1)

Combine like terms: 6p + -2p = 4p
-18 + 4p = 8 + 3(p + 1)

Reorder the terms:
-18 + 4p = 8 + 3(1 + p)
-18 + 4p = 8 + (1 * 3 + p * 3)
-18 + 4p = 8 + (3 + 3p)

Combine like terms: 8 + 3 = 11
-18 + 4p = 11 + 3p

Solving
-18 + 4p = 11 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-18 + 4p + -3p = 11 + 3p + -3p

Combine like terms: 4p + -3p = 1p
-18 + 1p = 11 + 3p + -3p

Combine like terms: 3p + -3p = 0
-18 + 1p = 11 + 0
-18 + 1p = 11

Add '18' to each side of the equation.
-18 + 18 + 1p = 11 + 18

Combine like terms: -18 + 18 = 0
0 + 1p = 11 + 18
1p = 11 + 18

Combine like terms: 11 + 18 = 29
1p = 29

Divide each side by '1'.
p = 29

Simplifying
p = 29

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