4(2p-5)+5(p-4)-2(p+9)=30

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Solution for 4(2p-5)+5(p-4)-2(p+9)=30 equation:


Simplifying
4(2p + -5) + 5(p + -4) + -2(p + 9) = 30

Reorder the terms:
4(-5 + 2p) + 5(p + -4) + -2(p + 9) = 30
(-5 * 4 + 2p * 4) + 5(p + -4) + -2(p + 9) = 30
(-20 + 8p) + 5(p + -4) + -2(p + 9) = 30

Reorder the terms:
-20 + 8p + 5(-4 + p) + -2(p + 9) = 30
-20 + 8p + (-4 * 5 + p * 5) + -2(p + 9) = 30
-20 + 8p + (-20 + 5p) + -2(p + 9) = 30

Reorder the terms:
-20 + 8p + -20 + 5p + -2(9 + p) = 30
-20 + 8p + -20 + 5p + (9 * -2 + p * -2) = 30
-20 + 8p + -20 + 5p + (-18 + -2p) = 30

Reorder the terms:
-20 + -20 + -18 + 8p + 5p + -2p = 30

Combine like terms: -20 + -20 = -40
-40 + -18 + 8p + 5p + -2p = 30

Combine like terms: -40 + -18 = -58
-58 + 8p + 5p + -2p = 30

Combine like terms: 8p + 5p = 13p
-58 + 13p + -2p = 30

Combine like terms: 13p + -2p = 11p
-58 + 11p = 30

Solving
-58 + 11p = 30

Solving for variable 'p'.

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

Add '58' to each side of the equation.
-58 + 58 + 11p = 30 + 58

Combine like terms: -58 + 58 = 0
0 + 11p = 30 + 58
11p = 30 + 58

Combine like terms: 30 + 58 = 88
11p = 88

Divide each side by '11'.
p = 8

Simplifying
p = 8

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