10=0.5*1.5(a+10)

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Solution for 10=0.5*1.5(a+10) equation: 


Simplifying
10 = 0.5 * 1.5(a + 10)

Reorder the terms:
10 = 0.5 * 1.5(10 + a)

Multiply 0.5 * 1.5
10 = 0.75(10 + a)
10 = (10 * 0.75 + a * 0.75)
10 = (7.5 + 0.75a)

Solving
10 = 7.5 + 0.75a

Solving for variable 'a'.

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

Add '-0.75a' to each side of the equation.
10 + -0.75a = 7.5 + 0.75a + -0.75a

Combine like terms: 0.75a + -0.75a = 0.00
10 + -0.75a = 7.5 + 0.00
10 + -0.75a = 7.5

Add '-10' to each side of the equation.
10 + -10 + -0.75a = 7.5 + -10

Combine like terms: 10 + -10 = 0
0 + -0.75a = 7.5 + -10
-0.75a = 7.5 + -10

Combine like terms: 7.5 + -10 = -2.5
-0.75a = -2.5

Divide each side by '-0.75'.
a = 3.333333333

Simplifying
a = 3.333333333

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