6(a+26)=85a+28

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Solution for 6(a+26)=85a+28 equation:


Simplifying
6(a + 26) = 85a + 28

Reorder the terms:
6(26 + a) = 85a + 28
(26 * 6 + a * 6) = 85a + 28
(156 + 6a) = 85a + 28

Reorder the terms:
156 + 6a = 28 + 85a

Solving
156 + 6a = 28 + 85a

Solving for variable 'a'.

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

Add '-85a' to each side of the equation.
156 + 6a + -85a = 28 + 85a + -85a

Combine like terms: 6a + -85a = -79a
156 + -79a = 28 + 85a + -85a

Combine like terms: 85a + -85a = 0
156 + -79a = 28 + 0
156 + -79a = 28

Add '-156' to each side of the equation.
156 + -156 + -79a = 28 + -156

Combine like terms: 156 + -156 = 0
0 + -79a = 28 + -156
-79a = 28 + -156

Combine like terms: 28 + -156 = -128
-79a = -128

Divide each side by '-79'.
a = 1.620253165

Simplifying
a = 1.620253165

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