0.9(a+3)=-2.7(a-12)

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Solution for 0.9(a+3)=-2.7(a-12) equation: 


Simplifying
0.9(a + 3) = -2.7(a + -12)

Reorder the terms:
0.9(3 + a) = -2.7(a + -12)
(3 * 0.9 + a * 0.9) = -2.7(a + -12)
(2.7 + 0.9a) = -2.7(a + -12)

Reorder the terms:
2.7 + 0.9a = -2.7(-12 + a)
2.7 + 0.9a = (-12 * -2.7 + a * -2.7)
2.7 + 0.9a = (32.4 + -2.7a)

Solving
2.7 + 0.9a = 32.4 + -2.7a

Solving for variable 'a'.

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

Add '2.7a' to each side of the equation.
2.7 + 0.9a + 2.7a = 32.4 + -2.7a + 2.7a

Combine like terms: 0.9a + 2.7a = 3.6a
2.7 + 3.6a = 32.4 + -2.7a + 2.7a

Combine like terms: -2.7a + 2.7a = 0.0
2.7 + 3.6a = 32.4 + 0.0
2.7 + 3.6a = 32.4

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 3.6a = 32.4 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 3.6a = 32.4 + -2.7
3.6a = 32.4 + -2.7

Combine like terms: 32.4 + -2.7 = 29.7
3.6a = 29.7

Divide each side by '3.6'.
a = 8.25

Simplifying
a = 8.25

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