5(p+2)-2(p-1)=7p+4

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Solution for 5(p+2)-2(p-1)=7p+4 equation: 


Simplifying
5(p + 2) + -2(p + -1) = 7p + 4

Reorder the terms:
5(2 + p) + -2(p + -1) = 7p + 4
(2 * 5 + p * 5) + -2(p + -1) = 7p + 4
(10 + 5p) + -2(p + -1) = 7p + 4

Reorder the terms:
10 + 5p + -2(-1 + p) = 7p + 4
10 + 5p + (-1 * -2 + p * -2) = 7p + 4
10 + 5p + (2 + -2p) = 7p + 4

Reorder the terms:
10 + 2 + 5p + -2p = 7p + 4

Combine like terms: 10 + 2 = 12
12 + 5p + -2p = 7p + 4

Combine like terms: 5p + -2p = 3p
12 + 3p = 7p + 4

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

Solving
12 + 3p = 4 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
12 + 3p + -7p = 4 + 7p + -7p

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

Combine like terms: 7p + -7p = 0
12 + -4p = 4 + 0
12 + -4p = 4

Add '-12' to each side of the equation.
12 + -12 + -4p = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -4p = 4 + -12
-4p = 4 + -12

Combine like terms: 4 + -12 = -8
-4p = -8

Divide each side by '-4'.
p = 2

Simplifying
p = 2

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