7p-33=4(8+6p)+3

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Solution for 7p-33=4(8+6p)+3 equation:


Simplifying
7p + -33 = 4(8 + 6p) + 3

Reorder the terms:
-33 + 7p = 4(8 + 6p) + 3
-33 + 7p = (8 * 4 + 6p * 4) + 3
-33 + 7p = (32 + 24p) + 3

Reorder the terms:
-33 + 7p = 32 + 3 + 24p

Combine like terms: 32 + 3 = 35
-33 + 7p = 35 + 24p

Solving
-33 + 7p = 35 + 24p

Solving for variable 'p'.

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

Add '-24p' to each side of the equation.
-33 + 7p + -24p = 35 + 24p + -24p

Combine like terms: 7p + -24p = -17p
-33 + -17p = 35 + 24p + -24p

Combine like terms: 24p + -24p = 0
-33 + -17p = 35 + 0
-33 + -17p = 35

Add '33' to each side of the equation.
-33 + 33 + -17p = 35 + 33

Combine like terms: -33 + 33 = 0
0 + -17p = 35 + 33
-17p = 35 + 33

Combine like terms: 35 + 33 = 68
-17p = 68

Divide each side by '-17'.
p = -4

Simplifying
p = -4

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