3*a+0.6*4=2*a+4.6*3

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Solution for 3*a+0.6*4=2*a+4.6*3 equation:


Simplifying
3a + 0.6 * 4 = 2a + 4.6 * 3

Multiply 0.6 * 4
3a + 2.4 = 2a + 4.6 * 3

Reorder the terms:
2.4 + 3a = 2a + 4.6 * 3

Multiply 4.6 * 3
2.4 + 3a = 2a + 13.8

Reorder the terms:
2.4 + 3a = 13.8 + 2a

Solving
2.4 + 3a = 13.8 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
2.4 + 3a + -2a = 13.8 + 2a + -2a

Combine like terms: 3a + -2a = 1a
2.4 + 1a = 13.8 + 2a + -2a

Combine like terms: 2a + -2a = 0
2.4 + 1a = 13.8 + 0
2.4 + 1a = 13.8

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1a = 13.8 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1a = 13.8 + -2.4
1a = 13.8 + -2.4

Combine like terms: 13.8 + -2.4 = 11.4
1a = 11.4

Divide each side by '1'.
a = 11.4

Simplifying
a = 11.4

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