0.40A+75(0.65)=0.50(A+75)

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Solution for 0.40A+75(0.65)=0.50(A+75) equation:


Simplifying
0.40A + 75(0.65) = 0.50(A + 75)

Multiply 75 * 0.65
0.40A + 48.75 = 0.50(A + 75)

Reorder the terms:
48.75 + 0.40A = 0.50(A + 75)

Reorder the terms:
48.75 + 0.40A = 0.50(75 + A)
48.75 + 0.40A = (75 * 0.50 + A * 0.50)
48.75 + 0.40A = (37.5 + 0.50A)

Solving
48.75 + 0.40A = 37.5 + 0.50A

Solving for variable 'A'.

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

Add '-0.50A' to each side of the equation.
48.75 + 0.40A + -0.50A = 37.5 + 0.50A + -0.50A

Combine like terms: 0.40A + -0.50A = -0.1A
48.75 + -0.1A = 37.5 + 0.50A + -0.50A

Combine like terms: 0.50A + -0.50A = 0.00
48.75 + -0.1A = 37.5 + 0.00
48.75 + -0.1A = 37.5

Add '-48.75' to each side of the equation.
48.75 + -48.75 + -0.1A = 37.5 + -48.75

Combine like terms: 48.75 + -48.75 = 0.00
0.00 + -0.1A = 37.5 + -48.75
-0.1A = 37.5 + -48.75

Combine like terms: 37.5 + -48.75 = -11.25
-0.1A = -11.25

Divide each side by '-0.1'.
A = 112.5

Simplifying
A = 112.5

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