16(3p)+3(7p)-12(3)=12(1)+3(p)+24(1)

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Solution for 16(3p)+3(7p)-12(3)=12(1)+3(p)+24(1) equation:


Simplifying
16(3p) + 3(7p) + -12(3) = 12(1) + 3(p) + 24(1)

Remove parenthesis around (3p)
16 * 3p + 3(7p) + -12(3) = 12(1) + 3(p) + 24(1)

Multiply 16 * 3
48p + 3(7p) + -12(3) = 12(1) + 3(p) + 24(1)

Remove parenthesis around (7p)
48p + 3 * 7p + -12(3) = 12(1) + 3(p) + 24(1)

Multiply 3 * 7
48p + 21p + -12(3) = 12(1) + 3(p) + 24(1)

Multiply -12 * 3
48p + 21p + -36 = 12(1) + 3(p) + 24(1)

Reorder the terms:
-36 + 48p + 21p = 12(1) + 3(p) + 24(1)

Combine like terms: 48p + 21p = 69p
-36 + 69p = 12(1) + 3(p) + 24(1)

Multiply 12 * 1
-36 + 69p = 12 + 3(p) + 24(1)

Multiply 24 * 1
-36 + 69p = 12 + 3p + 24

Reorder the terms:
-36 + 69p = 12 + 24 + 3p

Combine like terms: 12 + 24 = 36
-36 + 69p = 36 + 3p

Solving
-36 + 69p = 36 + 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.
-36 + 69p + -3p = 36 + 3p + -3p

Combine like terms: 69p + -3p = 66p
-36 + 66p = 36 + 3p + -3p

Combine like terms: 3p + -3p = 0
-36 + 66p = 36 + 0
-36 + 66p = 36

Add '36' to each side of the equation.
-36 + 36 + 66p = 36 + 36

Combine like terms: -36 + 36 = 0
0 + 66p = 36 + 36
66p = 36 + 36

Combine like terms: 36 + 36 = 72
66p = 72

Divide each side by '66'.
p = 1.090909091

Simplifying
p = 1.090909091

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