0.14a+0.06(36-a)=0.12(36)

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Solution for 0.14a+0.06(36-a)=0.12(36) equation:


Simplifying
0.14a + 0.06(36 + -1a) = 0.12(36)
0.14a + (36 * 0.06 + -1a * 0.06) = 0.12(36)
0.14a + (2.16 + -0.06a) = 0.12(36)

Reorder the terms:
2.16 + 0.14a + -0.06a = 0.12(36)

Combine like terms: 0.14a + -0.06a = 0.08a
2.16 + 0.08a = 0.12(36)

Multiply 0.12 * 36
2.16 + 0.08a = 4.32

Solving
2.16 + 0.08a = 4.32

Solving for variable 'a'.

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

Add '-2.16' to each side of the equation.
2.16 + -2.16 + 0.08a = 4.32 + -2.16

Combine like terms: 2.16 + -2.16 = 0.00
0.00 + 0.08a = 4.32 + -2.16
0.08a = 4.32 + -2.16

Combine like terms: 4.32 + -2.16 = 2.16
0.08a = 2.16

Divide each side by '0.08'.
a = 27

Simplifying
a = 27

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