29(18a+2)=12(4a-20)

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Solution for 29(18a+2)=12(4a-20) equation:


Simplifying
29(18a + 2) = 12(4a + -20)

Reorder the terms:
29(2 + 18a) = 12(4a + -20)
(2 * 29 + 18a * 29) = 12(4a + -20)
(58 + 522a) = 12(4a + -20)

Reorder the terms:
58 + 522a = 12(-20 + 4a)
58 + 522a = (-20 * 12 + 4a * 12)
58 + 522a = (-240 + 48a)

Solving
58 + 522a = -240 + 48a

Solving for variable 'a'.

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

Add '-48a' to each side of the equation.
58 + 522a + -48a = -240 + 48a + -48a

Combine like terms: 522a + -48a = 474a
58 + 474a = -240 + 48a + -48a

Combine like terms: 48a + -48a = 0
58 + 474a = -240 + 0
58 + 474a = -240

Add '-58' to each side of the equation.
58 + -58 + 474a = -240 + -58

Combine like terms: 58 + -58 = 0
0 + 474a = -240 + -58
474a = -240 + -58

Combine like terms: -240 + -58 = -298
474a = -298

Divide each side by '474'.
a = -0.6286919831

Simplifying
a = -0.6286919831

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