-(5-(a+1))=9-(5(2a-3))

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Solution for -(5-(a+1))=9-(5(2a-3)) equation:


Simplifying
-1(5 + -1(a + 1)) = 9 + -1(5(2a + -3))

Reorder the terms:
-1(5 + -1(1 + a)) = 9 + -1(5(2a + -3))
-1(5 + (1 * -1 + a * -1)) = 9 + -1(5(2a + -3))
-1(5 + (-1 + -1a)) = 9 + -1(5(2a + -3))

Combine like terms: 5 + -1 = 4
-1(4 + -1a) = 9 + -1(5(2a + -3))
(4 * -1 + -1a * -1) = 9 + -1(5(2a + -3))
(-4 + 1a) = 9 + -1(5(2a + -3))

Reorder the terms:
-4 + 1a = 9 + -1(5(-3 + 2a))
-4 + 1a = 9 + -1((-3 * 5 + 2a * 5))
-4 + 1a = 9 + -1((-15 + 10a))
-4 + 1a = 9 + (-15 * -1 + 10a * -1)
-4 + 1a = 9 + (15 + -10a)

Combine like terms: 9 + 15 = 24
-4 + 1a = 24 + -10a

Solving
-4 + 1a = 24 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
-4 + 1a + 10a = 24 + -10a + 10a

Combine like terms: 1a + 10a = 11a
-4 + 11a = 24 + -10a + 10a

Combine like terms: -10a + 10a = 0
-4 + 11a = 24 + 0
-4 + 11a = 24

Add '4' to each side of the equation.
-4 + 4 + 11a = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 11a = 24 + 4
11a = 24 + 4

Combine like terms: 24 + 4 = 28
11a = 28

Divide each side by '11'.
a = 2.545454545

Simplifying
a = 2.545454545

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