3p+4(-3p+8)=30-8p

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Solution for 3p+4(-3p+8)=30-8p equation:


Simplifying
3p + 4(-3p + 8) = 30 + -8p

Reorder the terms:
3p + 4(8 + -3p) = 30 + -8p
3p + (8 * 4 + -3p * 4) = 30 + -8p
3p + (32 + -12p) = 30 + -8p

Reorder the terms:
32 + 3p + -12p = 30 + -8p

Combine like terms: 3p + -12p = -9p
32 + -9p = 30 + -8p

Solving
32 + -9p = 30 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
32 + -9p + 8p = 30 + -8p + 8p

Combine like terms: -9p + 8p = -1p
32 + -1p = 30 + -8p + 8p

Combine like terms: -8p + 8p = 0
32 + -1p = 30 + 0
32 + -1p = 30

Add '-32' to each side of the equation.
32 + -32 + -1p = 30 + -32

Combine like terms: 32 + -32 = 0
0 + -1p = 30 + -32
-1p = 30 + -32

Combine like terms: 30 + -32 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2

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