1+5(1-5p)=-2p-40

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Solution for 1+5(1-5p)=-2p-40 equation:


Simplifying
1 + 5(1 + -5p) = -2p + -40
1 + (1 * 5 + -5p * 5) = -2p + -40
1 + (5 + -25p) = -2p + -40

Combine like terms: 1 + 5 = 6
6 + -25p = -2p + -40

Reorder the terms:
6 + -25p = -40 + -2p

Solving
6 + -25p = -40 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
6 + -25p + 2p = -40 + -2p + 2p

Combine like terms: -25p + 2p = -23p
6 + -23p = -40 + -2p + 2p

Combine like terms: -2p + 2p = 0
6 + -23p = -40 + 0
6 + -23p = -40

Add '-6' to each side of the equation.
6 + -6 + -23p = -40 + -6

Combine like terms: 6 + -6 = 0
0 + -23p = -40 + -6
-23p = -40 + -6

Combine like terms: -40 + -6 = -46
-23p = -46

Divide each side by '-23'.
p = 2

Simplifying
p = 2

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