(8.50)(A)+(4)(296-A)=1746.5

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Solution for (8.50)(A)+(4)(296-A)=1746.5 equation: 


Simplifying
(8.50)(A) + (4)(296 + -1A) = 1746.5
8.50A + (296 * 4 + -1A * 4) = 1746.5
8.50A + (1184 + -4A) = 1746.5

Reorder the terms:
1184 + 8.50A + -4A = 1746.5

Combine like terms: 8.50A + -4A = 4.5A
1184 + 4.5A = 1746.5

Solving
1184 + 4.5A = 1746.5

Solving for variable 'A'.

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

Add '-1184' to each side of the equation.
1184 + -1184 + 4.5A = 1746.5 + -1184

Combine like terms: 1184 + -1184 = 0
0 + 4.5A = 1746.5 + -1184
4.5A = 1746.5 + -1184

Combine like terms: 1746.5 + -1184 = 562.5
4.5A = 562.5

Divide each side by '4.5'.
A = 125

Simplifying
A = 125

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