-4.3a+3.4(3+7a)=9.8+19.9a

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Solution for -4.3a+3.4(3+7a)=9.8+19.9a equation:


Simplifying
-4.3a + 3.4(3 + 7a) = 9.8 + 19.9a
-4.3a + (3 * 3.4 + 7a * 3.4) = 9.8 + 19.9a
-4.3a + (10.2 + 23.8a) = 9.8 + 19.9a

Reorder the terms:
10.2 + -4.3a + 23.8a = 9.8 + 19.9a

Combine like terms: -4.3a + 23.8a = 19.5a
10.2 + 19.5a = 9.8 + 19.9a

Solving
10.2 + 19.5a = 9.8 + 19.9a

Solving for variable 'a'.

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

Add '-19.9a' to each side of the equation.
10.2 + 19.5a + -19.9a = 9.8 + 19.9a + -19.9a

Combine like terms: 19.5a + -19.9a = -0.4a
10.2 + -0.4a = 9.8 + 19.9a + -19.9a

Combine like terms: 19.9a + -19.9a = 0.0
10.2 + -0.4a = 9.8 + 0.0
10.2 + -0.4a = 9.8

Add '-10.2' to each side of the equation.
10.2 + -10.2 + -0.4a = 9.8 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + -0.4a = 9.8 + -10.2
-0.4a = 9.8 + -10.2

Combine like terms: 9.8 + -10.2 = -0.4
-0.4a = -0.4

Divide each side by '-0.4'.
a = 1

Simplifying
a = 1

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