-(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 = -6
-4 + 1a = -6 + 10a

Solving
-4 + 1a = -6 + 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 = -6 + 10a + -10a

Combine like terms: 1a + -10a = -9a
-4 + -9a = -6 + 10a + -10a

Combine like terms: 10a + -10a = 0
-4 + -9a = -6 + 0
-4 + -9a = -6

Add '4' to each side of the equation.
-4 + 4 + -9a = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -9a = -6 + 4
-9a = -6 + 4

Combine like terms: -6 + 4 = -2
-9a = -2

Divide each side by '-9'.
a = 0.2222222222

Simplifying
a = 0.2222222222

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