0.15(90)+0.059=0.1(90+p)

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Solution for 0.15(90)+0.059=0.1(90+p) equation:


Simplifying
0.15(90) + 0.059 = 0.1(90 + p)

Multiply 0.15 * 90
13.5 + 0.059 = 0.1(90 + p)

Combine like terms: 13.5 + 0.059 = 13.559
13.559 = 0.1(90 + p)
13.559 = (90 * 0.1 + p * 0.1)
13.559 = (9 + 0.1p)

Solving
13.559 = 9 + 0.1p

Solving for variable 'p'.

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

Add '-0.1p' to each side of the equation.
13.559 + -0.1p = 9 + 0.1p + -0.1p

Combine like terms: 0.1p + -0.1p = 0.0
13.559 + -0.1p = 9 + 0.0
13.559 + -0.1p = 9

Add '-13.559' to each side of the equation.
13.559 + -13.559 + -0.1p = 9 + -13.559

Combine like terms: 13.559 + -13.559 = 0.000
0.000 + -0.1p = 9 + -13.559
-0.1p = 9 + -13.559

Combine like terms: 9 + -13.559 = -4.559
-0.1p = -4.559

Divide each side by '-0.1'.
p = 45.59

Simplifying
p = 45.59

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