5(9a-5)-[3(4a-3)+5]=

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Solution for 5(9a-5)-[3(4a-3)+5]= equation:


Simplifying
5(9a + -5) + -1[3(4a + -3) + 5] = 0

Reorder the terms:
5(-5 + 9a) + -1[3(4a + -3) + 5] = 0
(-5 * 5 + 9a * 5) + -1[3(4a + -3) + 5] = 0
(-25 + 45a) + -1[3(4a + -3) + 5] = 0

Reorder the terms:
-25 + 45a + -1[3(-3 + 4a) + 5] = 0
-25 + 45a + -1[(-3 * 3 + 4a * 3) + 5] = 0
-25 + 45a + -1[(-9 + 12a) + 5] = 0

Reorder the terms:
-25 + 45a + -1[-9 + 5 + 12a] = 0

Combine like terms: -9 + 5 = -4
-25 + 45a + -1[-4 + 12a] = 0
-25 + 45a + [-4 * -1 + 12a * -1] = 0
-25 + 45a + [4 + -12a] = 0

Reorder the terms:
-25 + 4 + 45a + -12a = 0

Combine like terms: -25 + 4 = -21
-21 + 45a + -12a = 0

Combine like terms: 45a + -12a = 33a
-21 + 33a = 0

Solving
-21 + 33a = 0

Solving for variable 'a'.

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

Add '21' to each side of the equation.
-21 + 21 + 33a = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 33a = 0 + 21
33a = 0 + 21

Combine like terms: 0 + 21 = 21
33a = 21

Divide each side by '33'.
a = 0.6363636364

Simplifying
a = 0.6363636364

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