8.00a+13.00=7.50a+16.00

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Solution for 8.00a+13.00=7.50a+16.00 equation:


Simplifying
8.00a + 13.00 = 7.50a + 16.00

Reorder the terms:
13.00 + 8.00a = 7.50a + 16.00

Reorder the terms:
13.00 + 8.00a = 16.00 + 7.50a

Solving
13.00 + 8.00a = 16.00 + 7.50a

Solving for variable 'a'.

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

Add '-7.50a' to each side of the equation.
13.00 + 8.00a + -7.50a = 16.00 + 7.50a + -7.50a

Combine like terms: 8.00a + -7.50a = 0.5a
13.00 + 0.5a = 16.00 + 7.50a + -7.50a

Combine like terms: 7.50a + -7.50a = 0.00
13.00 + 0.5a = 16.00 + 0.00
13.00 + 0.5a = 16.00

Add '-13.00' to each side of the equation.
13.00 + -13.00 + 0.5a = 16.00 + -13.00

Combine like terms: 13.00 + -13.00 = 0.00
0.00 + 0.5a = 16.00 + -13.00
0.5a = 16.00 + -13.00

Combine like terms: 16.00 + -13.00 = 3
0.5a = 3

Divide each side by '0.5'.
a = 6

Simplifying
a = 6

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