-15(61a-95)=-45(-9a+25)

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Solution for -15(61a-95)=-45(-9a+25) equation: 


Simplifying
-15(61a + -95) = -45(-9a + 25)

Reorder the terms:
-15(-95 + 61a) = -45(-9a + 25)
(-95 * -15 + 61a * -15) = -45(-9a + 25)
(1425 + -915a) = -45(-9a + 25)

Reorder the terms:
1425 + -915a = -45(25 + -9a)
1425 + -915a = (25 * -45 + -9a * -45)
1425 + -915a = (-1125 + 405a)

Solving
1425 + -915a = -1125 + 405a

Solving for variable 'a'.

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

Add '-405a' to each side of the equation.
1425 + -915a + -405a = -1125 + 405a + -405a

Combine like terms: -915a + -405a = -1320a
1425 + -1320a = -1125 + 405a + -405a

Combine like terms: 405a + -405a = 0
1425 + -1320a = -1125 + 0
1425 + -1320a = -1125

Add '-1425' to each side of the equation.
1425 + -1425 + -1320a = -1125 + -1425

Combine like terms: 1425 + -1425 = 0
0 + -1320a = -1125 + -1425
-1320a = -1125 + -1425

Combine like terms: -1125 + -1425 = -2550
-1320a = -2550

Divide each side by '-1320'.
a = 1.931818182

Simplifying
a = 1.931818182

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