40p+7(1.5+p)=489.85

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Solution for 40p+7(1.5+p)=489.85 equation: 


Simplifying
40p + 7(1.5 + p) = 489.85
40p + (1.5 * 7 + p * 7) = 489.85
40p + (10.5 + 7p) = 489.85

Reorder the terms:
10.5 + 40p + 7p = 489.85

Combine like terms: 40p + 7p = 47p
10.5 + 47p = 489.85

Solving
10.5 + 47p = 489.85

Solving for variable 'p'.

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

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 47p = 489.85 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 47p = 489.85 + -10.5
47p = 489.85 + -10.5

Combine like terms: 489.85 + -10.5 = 479.35
47p = 479.35

Divide each side by '47'.
p = 10.19893617

Simplifying
p = 10.19893617

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