17(a-1)=34(3a-5.6)

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Solution for 17(a-1)=34(3a-5.6) equation:


Simplifying
17(a + -1) = 34(3a + -5.6)

Reorder the terms:
17(-1 + a) = 34(3a + -5.6)
(-1 * 17 + a * 17) = 34(3a + -5.6)
(-17 + 17a) = 34(3a + -5.6)

Reorder the terms:
-17 + 17a = 34(-5.6 + 3a)
-17 + 17a = (-5.6 * 34 + 3a * 34)
-17 + 17a = (-190.4 + 102a)

Solving
-17 + 17a = -190.4 + 102a

Solving for variable 'a'.

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

Add '-102a' to each side of the equation.
-17 + 17a + -102a = -190.4 + 102a + -102a

Combine like terms: 17a + -102a = -85a
-17 + -85a = -190.4 + 102a + -102a

Combine like terms: 102a + -102a = 0
-17 + -85a = -190.4 + 0
-17 + -85a = -190.4

Add '17' to each side of the equation.
-17 + 17 + -85a = -190.4 + 17

Combine like terms: -17 + 17 = 0
0 + -85a = -190.4 + 17
-85a = -190.4 + 17

Combine like terms: -190.4 + 17 = -173.4
-85a = -173.4

Divide each side by '-85'.
a = 2.04

Simplifying
a = 2.04

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