13(-45a+27)=13(8a-10)

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Solution for 13(-45a+27)=13(8a-10) equation:


Simplifying
13(-45a + 27) = 13(8a + -10)

Reorder the terms:
13(27 + -45a) = 13(8a + -10)
(27 * 13 + -45a * 13) = 13(8a + -10)
(351 + -585a) = 13(8a + -10)

Reorder the terms:
351 + -585a = 13(-10 + 8a)
351 + -585a = (-10 * 13 + 8a * 13)
351 + -585a = (-130 + 104a)

Solving
351 + -585a = -130 + 104a

Solving for variable 'a'.

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

Add '-104a' to each side of the equation.
351 + -585a + -104a = -130 + 104a + -104a

Combine like terms: -585a + -104a = -689a
351 + -689a = -130 + 104a + -104a

Combine like terms: 104a + -104a = 0
351 + -689a = -130 + 0
351 + -689a = -130

Add '-351' to each side of the equation.
351 + -351 + -689a = -130 + -351

Combine like terms: 351 + -351 = 0
0 + -689a = -130 + -351
-689a = -130 + -351

Combine like terms: -130 + -351 = -481
-689a = -481

Divide each side by '-689'.
a = 0.6981132075

Simplifying
a = 0.6981132075

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