5[2p+3]-3[2p-3]=4

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Solution for 5[2p+3]-3[2p-3]=4 equation: 


Simplifying
5[2p + 3] + -3[2p + -3] = 4

Reorder the terms:
5[3 + 2p] + -3[2p + -3] = 4
[3 * 5 + 2p * 5] + -3[2p + -3] = 4
[15 + 10p] + -3[2p + -3] = 4

Reorder the terms:
15 + 10p + -3[-3 + 2p] = 4
15 + 10p + [-3 * -3 + 2p * -3] = 4
15 + 10p + [9 + -6p] = 4

Reorder the terms:
15 + 9 + 10p + -6p = 4

Combine like terms: 15 + 9 = 24
24 + 10p + -6p = 4

Combine like terms: 10p + -6p = 4p
24 + 4p = 4

Solving
24 + 4p = 4

Solving for variable 'p'.

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

Add '-24' to each side of the equation.
24 + -24 + 4p = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 4p = 4 + -24
4p = 4 + -24

Combine like terms: 4 + -24 = -20
4p = -20

Divide each side by '4'.
p = -5

Simplifying
p = -5

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