7+3p=4(p-3)+5

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Solution for 7+3p=4(p-3)+5 equation:


Simplifying
7 + 3p = 4(p + -3) + 5

Reorder the terms:
7 + 3p = 4(-3 + p) + 5
7 + 3p = (-3 * 4 + p * 4) + 5
7 + 3p = (-12 + 4p) + 5

Reorder the terms:
7 + 3p = -12 + 5 + 4p

Combine like terms: -12 + 5 = -7
7 + 3p = -7 + 4p

Solving
7 + 3p = -7 + 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.
7 + 3p + -4p = -7 + 4p + -4p

Combine like terms: 3p + -4p = -1p
7 + -1p = -7 + 4p + -4p

Combine like terms: 4p + -4p = 0
7 + -1p = -7 + 0
7 + -1p = -7

Add '-7' to each side of the equation.
7 + -7 + -1p = -7 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = -7 + -7
-1p = -7 + -7

Combine like terms: -7 + -7 = -14
-1p = -14

Divide each side by '-1'.
p = 14

Simplifying
p = 14

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