4.8(1.5a-0.8)+1.2(3.5a-1.3)-5(4.8a-3.6)=0

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Solution for 4.8(1.5a-0.8)+1.2(3.5a-1.3)-5(4.8a-3.6)=0 equation: 


Simplifying
4.8(1.5a + -0.8) + 1.2(3.5a + -1.3) + -5(4.8a + -3.6) = 0

Reorder the terms:
4.8(-0.8 + 1.5a) + 1.2(3.5a + -1.3) + -5(4.8a + -3.6) = 0
(-0.8 * 4.8 + 1.5a * 4.8) + 1.2(3.5a + -1.3) + -5(4.8a + -3.6) = 0
(-3.84 + 7.2a) + 1.2(3.5a + -1.3) + -5(4.8a + -3.6) = 0

Reorder the terms:
-3.84 + 7.2a + 1.2(-1.3 + 3.5a) + -5(4.8a + -3.6) = 0
-3.84 + 7.2a + (-1.3 * 1.2 + 3.5a * 1.2) + -5(4.8a + -3.6) = 0
-3.84 + 7.2a + (-1.56 + 4.2a) + -5(4.8a + -3.6) = 0

Reorder the terms:
-3.84 + 7.2a + -1.56 + 4.2a + -5(-3.6 + 4.8a) = 0
-3.84 + 7.2a + -1.56 + 4.2a + (-3.6 * -5 + 4.8a * -5) = 0
-3.84 + 7.2a + -1.56 + 4.2a + (18 + -24a) = 0

Reorder the terms:
-3.84 + -1.56 + 18 + 7.2a + 4.2a + -24a = 0

Combine like terms: -3.84 + -1.56 = -5.4
-5.4 + 18 + 7.2a + 4.2a + -24a = 0

Combine like terms: -5.4 + 18 = 12.6
12.6 + 7.2a + 4.2a + -24a = 0

Combine like terms: 7.2a + 4.2a = 11.4a
12.6 + 11.4a + -24a = 0

Combine like terms: 11.4a + -24a = -12.6a
12.6 + -12.6a = 0

Solving
12.6 + -12.6a = 0

Solving for variable 'a'.

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

Add '-12.6' to each side of the equation.
12.6 + -12.6 + -12.6a = 0 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + -12.6a = 0 + -12.6
-12.6a = 0 + -12.6

Combine like terms: 0 + -12.6 = -12.6
-12.6a = -12.6

Divide each side by '-12.6'.
a = 1

Simplifying
a = 1

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