0.6(a-3)-3(0.4a+2)=-0.2(5a+9)-4

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Solution for 0.6(a-3)-3(0.4a+2)=-0.2(5a+9)-4 equation: 


Simplifying
0.6(a + -3) + -3(0.4a + 2) = -0.2(5a + 9) + -4

Reorder the terms:
0.6(-3 + a) + -3(0.4a + 2) = -0.2(5a + 9) + -4
(-3 * 0.6 + a * 0.6) + -3(0.4a + 2) = -0.2(5a + 9) + -4
(-1.8 + 0.6a) + -3(0.4a + 2) = -0.2(5a + 9) + -4

Reorder the terms:
-1.8 + 0.6a + -3(2 + 0.4a) = -0.2(5a + 9) + -4
-1.8 + 0.6a + (2 * -3 + 0.4a * -3) = -0.2(5a + 9) + -4
-1.8 + 0.6a + (-6 + -1.2a) = -0.2(5a + 9) + -4

Reorder the terms:
-1.8 + -6 + 0.6a + -1.2a = -0.2(5a + 9) + -4

Combine like terms: -1.8 + -6 = -7.8
-7.8 + 0.6a + -1.2a = -0.2(5a + 9) + -4

Combine like terms: 0.6a + -1.2a = -0.6a
-7.8 + -0.6a = -0.2(5a + 9) + -4

Reorder the terms:
-7.8 + -0.6a = -0.2(9 + 5a) + -4
-7.8 + -0.6a = (9 * -0.2 + 5a * -0.2) + -4
-7.8 + -0.6a = (-1.8 + -1a) + -4

Reorder the terms:
-7.8 + -0.6a = -1.8 + -4 + -1a

Combine like terms: -1.8 + -4 = -5.8
-7.8 + -0.6a = -5.8 + -1a

Solving
-7.8 + -0.6a = -5.8 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-7.8 + -0.6a + a = -5.8 + -1a + a

Combine like terms: -0.6a + a = 0.4a
-7.8 + 0.4a = -5.8 + -1a + a

Combine like terms: -1a + a = 0
-7.8 + 0.4a = -5.8 + 0
-7.8 + 0.4a = -5.8

Add '7.8' to each side of the equation.
-7.8 + 7.8 + 0.4a = -5.8 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + 0.4a = -5.8 + 7.8
0.4a = -5.8 + 7.8

Combine like terms: -5.8 + 7.8 = 2
0.4a = 2

Divide each side by '0.4'.
a = 5

Simplifying
a = 5

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