4(4p+2)-36=3(5p+6)

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Solution for 4(4p+2)-36=3(5p+6) equation:


Simplifying
4(4p + 2) + -36 = 3(5p + 6)

Reorder the terms:
4(2 + 4p) + -36 = 3(5p + 6)
(2 * 4 + 4p * 4) + -36 = 3(5p + 6)
(8 + 16p) + -36 = 3(5p + 6)

Reorder the terms:
8 + -36 + 16p = 3(5p + 6)

Combine like terms: 8 + -36 = -28
-28 + 16p = 3(5p + 6)

Reorder the terms:
-28 + 16p = 3(6 + 5p)
-28 + 16p = (6 * 3 + 5p * 3)
-28 + 16p = (18 + 15p)

Solving
-28 + 16p = 18 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-28 + 16p + -15p = 18 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-28 + 1p = 18 + 15p + -15p

Combine like terms: 15p + -15p = 0
-28 + 1p = 18 + 0
-28 + 1p = 18

Add '28' to each side of the equation.
-28 + 28 + 1p = 18 + 28

Combine like terms: -28 + 28 = 0
0 + 1p = 18 + 28
1p = 18 + 28

Combine like terms: 18 + 28 = 46
1p = 46

Divide each side by '1'.
p = 46

Simplifying
p = 46

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