11(p-5)-10(6p+22)=-32+38

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Solution for 11(p-5)-10(6p+22)=-32+38 equation: 


Simplifying
11(p + -5) + -10(6p + 22) = -32 + 38

Reorder the terms:
11(-5 + p) + -10(6p + 22) = -32 + 38
(-5 * 11 + p * 11) + -10(6p + 22) = -32 + 38
(-55 + 11p) + -10(6p + 22) = -32 + 38

Reorder the terms:
-55 + 11p + -10(22 + 6p) = -32 + 38
-55 + 11p + (22 * -10 + 6p * -10) = -32 + 38
-55 + 11p + (-220 + -60p) = -32 + 38

Reorder the terms:
-55 + -220 + 11p + -60p = -32 + 38

Combine like terms: -55 + -220 = -275
-275 + 11p + -60p = -32 + 38

Combine like terms: 11p + -60p = -49p
-275 + -49p = -32 + 38

Combine like terms: -32 + 38 = 6
-275 + -49p = 6

Solving
-275 + -49p = 6

Solving for variable 'p'.

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

Add '275' to each side of the equation.
-275 + 275 + -49p = 6 + 275

Combine like terms: -275 + 275 = 0
0 + -49p = 6 + 275
-49p = 6 + 275

Combine like terms: 6 + 275 = 281
-49p = 281

Divide each side by '-49'.
p = -5.734693878

Simplifying
p = -5.734693878

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