[9(p+5)-16]+[2(p-2)+5]=

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Solution for [9(p+5)-16]+[2(p-2)+5]= equation:


Simplifying
[9(p + 5) + -16] + [2(p + -2) + 5] = 0

Reorder the terms:
[9(5 + p) + -16] + [2(p + -2) + 5] = 0
[(5 * 9 + p * 9) + -16] + [2(p + -2) + 5] = 0
[(45 + 9p) + -16] + [2(p + -2) + 5] = 0

Reorder the terms:
[45 + -16 + 9p] + [2(p + -2) + 5] = 0

Combine like terms: 45 + -16 = 29
[29 + 9p] + [2(p + -2) + 5] = 0

Remove brackets around [29 + 9p]
29 + 9p + [2(p + -2) + 5] = 0

Reorder the terms:
29 + 9p + [2(-2 + p) + 5] = 0
29 + 9p + [(-2 * 2 + p * 2) + 5] = 0
29 + 9p + [(-4 + 2p) + 5] = 0

Reorder the terms:
29 + 9p + [-4 + 5 + 2p] = 0

Combine like terms: -4 + 5 = 1
29 + 9p + [1 + 2p] = 0

Remove brackets around [1 + 2p]
29 + 9p + 1 + 2p = 0

Reorder the terms:
29 + 1 + 9p + 2p = 0

Combine like terms: 29 + 1 = 30
30 + 9p + 2p = 0

Combine like terms: 9p + 2p = 11p
30 + 11p = 0

Solving
30 + 11p = 0

Solving for variable 'p'.

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

Add '-30' to each side of the equation.
30 + -30 + 11p = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 11p = 0 + -30
11p = 0 + -30

Combine like terms: 0 + -30 = -30
11p = -30

Divide each side by '11'.
p = -2.727272727

Simplifying
p = -2.727272727

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