0.15(90)+0.05p=0.10(90+p)

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Solution for 0.15(90)+0.05p=0.10(90+p) equation: 


Simplifying
0.15(90) + 0.05p = 0.10(90 + p)

Multiply 0.15 * 90
13.5 + 0.05p = 0.10(90 + p)
13.5 + 0.05p = (90 * 0.10 + p * 0.10)
13.5 + 0.05p = (9 + 0.10p)

Solving
13.5 + 0.05p = 9 + 0.10p

Solving for variable 'p'.

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

Add '-0.10p' to each side of the equation.
13.5 + 0.05p + -0.10p = 9 + 0.10p + -0.10p

Combine like terms: 0.05p + -0.10p = -0.05p
13.5 + -0.05p = 9 + 0.10p + -0.10p

Combine like terms: 0.10p + -0.10p = 0.00
13.5 + -0.05p = 9 + 0.00
13.5 + -0.05p = 9

Add '-13.5' to each side of the equation.
13.5 + -13.5 + -0.05p = 9 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -0.05p = 9 + -13.5
-0.05p = 9 + -13.5

Combine like terms: 9 + -13.5 = -4.5
-0.05p = -4.5

Divide each side by '-0.05'.
p = 90

Simplifying
p = 90

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