6a+5(4-8a)=258

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Solution for 6a+5(4-8a)=258 equation:


Simplifying
6a + 5(4 + -8a) = 258
6a + (4 * 5 + -8a * 5) = 258
6a + (20 + -40a) = 258

Reorder the terms:
20 + 6a + -40a = 258

Combine like terms: 6a + -40a = -34a
20 + -34a = 258

Solving
20 + -34a = 258

Solving for variable 'a'.

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

Add '-20' to each side of the equation.
20 + -20 + -34a = 258 + -20

Combine like terms: 20 + -20 = 0
0 + -34a = 258 + -20
-34a = 258 + -20

Combine like terms: 258 + -20 = 238
-34a = 238

Divide each side by '-34'.
a = -7

Simplifying
a = -7

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