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

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


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

Reorder the terms:
3(-6 + p) + 8 = 4(p + 7)
(-6 * 3 + p * 3) + 8 = 4(p + 7)
(-18 + 3p) + 8 = 4(p + 7)

Reorder the terms:
-18 + 8 + 3p = 4(p + 7)

Combine like terms: -18 + 8 = -10
-10 + 3p = 4(p + 7)

Reorder the terms:
-10 + 3p = 4(7 + p)
-10 + 3p = (7 * 4 + p * 4)
-10 + 3p = (28 + 4p)

Solving
-10 + 3p = 28 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-10 + 3p + -4p = 28 + 4p + -4p

Combine like terms: 3p + -4p = -1p
-10 + -1p = 28 + 4p + -4p

Combine like terms: 4p + -4p = 0
-10 + -1p = 28 + 0
-10 + -1p = 28

Add '10' to each side of the equation.
-10 + 10 + -1p = 28 + 10

Combine like terms: -10 + 10 = 0
0 + -1p = 28 + 10
-1p = 28 + 10

Combine like terms: 28 + 10 = 38
-1p = 38

Divide each side by '-1'.
p = -38

Simplifying
p = -38

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