8.2(a+4)=6.7a+5.2

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Solution for 8.2(a+4)=6.7a+5.2 equation: 


Simplifying
8.2(a + 4) = 6.7a + 5.2

Reorder the terms:
8.2(4 + a) = 6.7a + 5.2
(4 * 8.2 + a * 8.2) = 6.7a + 5.2
(32.8 + 8.2a) = 6.7a + 5.2

Reorder the terms:
32.8 + 8.2a = 5.2 + 6.7a

Solving
32.8 + 8.2a = 5.2 + 6.7a

Solving for variable 'a'.

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

Add '-6.7a' to each side of the equation.
32.8 + 8.2a + -6.7a = 5.2 + 6.7a + -6.7a

Combine like terms: 8.2a + -6.7a = 1.5a
32.8 + 1.5a = 5.2 + 6.7a + -6.7a

Combine like terms: 6.7a + -6.7a = 0.0
32.8 + 1.5a = 5.2 + 0.0
32.8 + 1.5a = 5.2

Add '-32.8' to each side of the equation.
32.8 + -32.8 + 1.5a = 5.2 + -32.8

Combine like terms: 32.8 + -32.8 = 0.0
0.0 + 1.5a = 5.2 + -32.8
1.5a = 5.2 + -32.8

Combine like terms: 5.2 + -32.8 = -27.6
1.5a = -27.6

Divide each side by '1.5'.
a = -18.4

Simplifying
a = -18.4

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