7+5(p+4)=6(p+2)

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Solution for 7+5(p+4)=6(p+2) equation:


Simplifying
7 + 5(p + 4) = 6(p + 2)

Reorder the terms:
7 + 5(4 + p) = 6(p + 2)
7 + (4 * 5 + p * 5) = 6(p + 2)
7 + (20 + 5p) = 6(p + 2)

Combine like terms: 7 + 20 = 27
27 + 5p = 6(p + 2)

Reorder the terms:
27 + 5p = 6(2 + p)
27 + 5p = (2 * 6 + p * 6)
27 + 5p = (12 + 6p)

Solving
27 + 5p = 12 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
27 + 5p + -6p = 12 + 6p + -6p

Combine like terms: 5p + -6p = -1p
27 + -1p = 12 + 6p + -6p

Combine like terms: 6p + -6p = 0
27 + -1p = 12 + 0
27 + -1p = 12

Add '-27' to each side of the equation.
27 + -27 + -1p = 12 + -27

Combine like terms: 27 + -27 = 0
0 + -1p = 12 + -27
-1p = 12 + -27

Combine like terms: 12 + -27 = -15
-1p = -15

Divide each side by '-1'.
p = 15

Simplifying
p = 15

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