2.00=0.01p+0.05(p*2)+0.10(p-1)

Solution for 2.00=0.01p+0.05(p*2)+0.10(p-1) equation:

Simplifying
2.00 = 0.01p + 0.05(p * 2) + 0.10(p + -1)

Reorder the terms for easier multiplication:
2.00 = 0.01p + 0.05(2p) + 0.10(p + -1)

Remove parenthesis around (2p)
2.00 = 0.01p + 0.05 * 2p + 0.10(p + -1)

Multiply 0.05 * 2
2.00 = 0.01p + 0.1p + 0.10(p + -1)

Reorder the terms:
2.00 = 0.01p + 0.1p + 0.10(-1 + p)
2.00 = 0.01p + 0.1p + (-1 * 0.10 + p * 0.10)
2.00 = 0.01p + 0.1p + (-0.1 + 0.10p)

Reorder the terms:
2.00 = -0.1 + 0.01p + 0.1p + 0.10p

Combine like terms: 0.01p + 0.1p = 0.11p
2.00 = -0.1 + 0.11p + 0.10p

Combine like terms: 0.11p + 0.10p = 0.21p
2.00 = -0.1 + 0.21p

Solving
2.00 = -0.1 + 0.21p

Solving for variable 'p'.

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

Add '-0.21p' to each side of the equation.
2.00 + -0.21p = -0.1 + 0.21p + -0.21p

Combine like terms: 0.21p + -0.21p = 0.00
2.00 + -0.21p = -0.1 + 0.00
2.00 + -0.21p = -0.1

Add '-2.00' to each side of the equation.
2.00 + -2.00 + -0.21p = -0.1 + -2.00

Combine like terms: 2.00 + -2.00 = 0.00
0.00 + -0.21p = -0.1 + -2.00
-0.21p = -0.1 + -2.00

Combine like terms: -0.1 + -2.00 = -2.1
-0.21p = -2.1

Divide each side by '-0.21'.
p = 10

Simplifying
p = 10