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

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

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

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

Combine like terms: 5 + 3 = 8
-4 + 1a = 9(8 + -2a)
-4 + 1a = (8 * 9 + -2a * 9)
-4 + 1a = (72 + -18a)

Solving
-4 + 1a = 72 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
-4 + 1a + 18a = 72 + -18a + 18a

Combine like terms: 1a + 18a = 19a
-4 + 19a = 72 + -18a + 18a

Combine like terms: -18a + 18a = 0
-4 + 19a = 72 + 0
-4 + 19a = 72

Add '4' to each side of the equation.
-4 + 4 + 19a = 72 + 4

Combine like terms: -4 + 4 = 0
0 + 19a = 72 + 4
19a = 72 + 4

Combine like terms: 72 + 4 = 76
19a = 76

Divide each side by '19'.
a = 4

Simplifying
a = 4

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