7.5=0.5(a+5.5)

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Solution for 7.5=0.5(a+5.5) equation:


Simplifying
7.5 = 0.5(a + 5.5)

Reorder the terms:
7.5 = 0.5(5.5 + a)
7.5 = (5.5 * 0.5 + a * 0.5)
7.5 = (2.75 + 0.5a)

Solving
7.5 = 2.75 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
7.5 + -0.5a = 2.75 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
7.5 + -0.5a = 2.75 + 0.0
7.5 + -0.5a = 2.75

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -0.5a = 2.75 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -0.5a = 2.75 + -7.5
-0.5a = 2.75 + -7.5

Combine like terms: 2.75 + -7.5 = -4.75
-0.5a = -4.75

Divide each side by '-0.5'.
a = 9.5

Simplifying
a = 9.5

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