95=(2)(A)+(3)(500-A)

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Solution for 95=(2)(A)+(3)(500-A) equation: 


Simplifying
95 = (2)(A) + (3)(500 + -1A)
95 = 2A + (500 * 3 + -1A * 3)
95 = 2A + (1500 + -3A)

Reorder the terms:
95 = 1500 + 2A + -3A

Combine like terms: 2A + -3A = -1A
95 = 1500 + -1A

Solving
95 = 1500 + -1A

Solving for variable 'A'.

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

Add 'A' to each side of the equation.
95 + A = 1500 + -1A + A

Combine like terms: -1A + A = 0
95 + A = 1500 + 0
95 + A = 1500

Add '-95' to each side of the equation.
95 + -95 + A = 1500 + -95

Combine like terms: 95 + -95 = 0
0 + A = 1500 + -95
A = 1500 + -95

Combine like terms: 1500 + -95 = 1405
A = 1405

Simplifying
A = 1405

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