40-3p=2(6p+5)

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Solution for 40-3p=2(6p+5) equation:


Simplifying
40 + -3p = 2(6p + 5)

Reorder the terms:
40 + -3p = 2(5 + 6p)
40 + -3p = (5 * 2 + 6p * 2)
40 + -3p = (10 + 12p)

Solving
40 + -3p = 10 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
40 + -3p + -12p = 10 + 12p + -12p

Combine like terms: -3p + -12p = -15p
40 + -15p = 10 + 12p + -12p

Combine like terms: 12p + -12p = 0
40 + -15p = 10 + 0
40 + -15p = 10

Add '-40' to each side of the equation.
40 + -40 + -15p = 10 + -40

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

Combine like terms: 10 + -40 = -30
-15p = -30

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

Simplifying
p = 2

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