15+50+5(1-p)=30+10+10p

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Solution for 15+50+5(1-p)=30+10+10p equation:


Simplifying
15 + 50 + 5(1 + -1p) = 30 + 10 + 10p
15 + 50 + (1 * 5 + -1p * 5) = 30 + 10 + 10p
15 + 50 + (5 + -5p) = 30 + 10 + 10p

Combine like terms: 15 + 50 = 65
65 + 5 + -5p = 30 + 10 + 10p

Combine like terms: 65 + 5 = 70
70 + -5p = 30 + 10 + 10p

Combine like terms: 30 + 10 = 40
70 + -5p = 40 + 10p

Solving
70 + -5p = 40 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
70 + -5p + -10p = 40 + 10p + -10p

Combine like terms: -5p + -10p = -15p
70 + -15p = 40 + 10p + -10p

Combine like terms: 10p + -10p = 0
70 + -15p = 40 + 0
70 + -15p = 40

Add '-70' to each side of the equation.
70 + -70 + -15p = 40 + -70

Combine like terms: 70 + -70 = 0
0 + -15p = 40 + -70
-15p = 40 + -70

Combine like terms: 40 + -70 = -30
-15p = -30

Divide each side by '-15'.
p = 2

Simplifying
p = 2

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