40=10-3(p-7)

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Solution for 40=10-3(p-7) equation:


Simplifying
40 = 10 + -3(p + -7)

Reorder the terms:
40 = 10 + -3(-7 + p)
40 = 10 + (-7 * -3 + p * -3)
40 = 10 + (21 + -3p)

Combine like terms: 10 + 21 = 31
40 = 31 + -3p

Solving
40 = 31 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
40 + 3p = 31 + -3p + 3p

Combine like terms: -3p + 3p = 0
40 + 3p = 31 + 0
40 + 3p = 31

Add '-40' to each side of the equation.
40 + -40 + 3p = 31 + -40

Combine like terms: 40 + -40 = 0
0 + 3p = 31 + -40
3p = 31 + -40

Combine like terms: 31 + -40 = -9
3p = -9

Divide each side by '3'.
p = -3

Simplifying
p = -3

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