26.54-p=0.5(80-p)

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Solution for 26.54-p=0.5(80-p) equation:


Simplifying
26.54 + -1p = 0.5(80 + -1p)
26.54 + -1p = (80 * 0.5 + -1p * 0.5)
26.54 + -1p = (40 + -0.5p)

Solving
26.54 + -1p = 40 + -0.5p

Solving for variable 'p'.

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

Add '0.5p' to each side of the equation.
26.54 + -1p + 0.5p = 40 + -0.5p + 0.5p

Combine like terms: -1p + 0.5p = -0.5p
26.54 + -0.5p = 40 + -0.5p + 0.5p

Combine like terms: -0.5p + 0.5p = 0.0
26.54 + -0.5p = 40 + 0.0
26.54 + -0.5p = 40

Add '-26.54' to each side of the equation.
26.54 + -26.54 + -0.5p = 40 + -26.54

Combine like terms: 26.54 + -26.54 = 0.00
0.00 + -0.5p = 40 + -26.54
-0.5p = 40 + -26.54

Combine like terms: 40 + -26.54 = 13.46
-0.5p = 13.46

Divide each side by '-0.5'.
p = -26.92

Simplifying
p = -26.92

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