3.4(3+7a)=9.2+24.8a

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Solution for 3.4(3+7a)=9.2+24.8a equation:


Simplifying
3.4(3 + 7a) = 9.2 + 24.8a
(3 * 3.4 + 7a * 3.4) = 9.2 + 24.8a
(10.2 + 23.8a) = 9.2 + 24.8a

Solving
10.2 + 23.8a = 9.2 + 24.8a

Solving for variable 'a'.

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

Add '-24.8a' to each side of the equation.
10.2 + 23.8a + -24.8a = 9.2 + 24.8a + -24.8a

Combine like terms: 23.8a + -24.8a = -1a
10.2 + -1a = 9.2 + 24.8a + -24.8a

Combine like terms: 24.8a + -24.8a = 0.0
10.2 + -1a = 9.2 + 0.0
10.2 + -1a = 9.2

Add '-10.2' to each side of the equation.
10.2 + -10.2 + -1a = 9.2 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + -1a = 9.2 + -10.2
-1a = 9.2 + -10.2

Combine like terms: 9.2 + -10.2 = -1
-1a = -1

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

Simplifying
a = 1

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