3(1.5a+6.4)-2(4.8-a)=29.36

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Solution for 3(1.5a+6.4)-2(4.8-a)=29.36 equation:


Simplifying
3(1.5a + 6.4) + -2(4.8 + -1a) = 29.36

Reorder the terms:
3(6.4 + 1.5a) + -2(4.8 + -1a) = 29.36
(6.4 * 3 + 1.5a * 3) + -2(4.8 + -1a) = 29.36
(19.2 + 4.5a) + -2(4.8 + -1a) = 29.36
19.2 + 4.5a + (4.8 * -2 + -1a * -2) = 29.36
19.2 + 4.5a + (-9.6 + 2a) = 29.36

Reorder the terms:
19.2 + -9.6 + 4.5a + 2a = 29.36

Combine like terms: 19.2 + -9.6 = 9.6
9.6 + 4.5a + 2a = 29.36

Combine like terms: 4.5a + 2a = 6.5a
9.6 + 6.5a = 29.36

Solving
9.6 + 6.5a = 29.36

Solving for variable 'a'.

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

Add '-9.6' to each side of the equation.
9.6 + -9.6 + 6.5a = 29.36 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + 6.5a = 29.36 + -9.6
6.5a = 29.36 + -9.6

Combine like terms: 29.36 + -9.6 = 19.76
6.5a = 19.76

Divide each side by '6.5'.
a = 3.04

Simplifying
a = 3.04

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