15-(a+1)=a-(3a+5)

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Solution for 15-(a+1)=a-(3a+5) equation:


Simplifying
15 + -1(a + 1) = a + -1(3a + 5)

Reorder the terms:
15 + -1(1 + a) = a + -1(3a + 5)
15 + (1 * -1 + a * -1) = a + -1(3a + 5)
15 + (-1 + -1a) = a + -1(3a + 5)

Combine like terms: 15 + -1 = 14
14 + -1a = a + -1(3a + 5)

Reorder the terms:
14 + -1a = a + -1(5 + 3a)
14 + -1a = a + (5 * -1 + 3a * -1)
14 + -1a = a + (-5 + -3a)

Reorder the terms:
14 + -1a = -5 + a + -3a

Combine like terms: a + -3a = -2a
14 + -1a = -5 + -2a

Solving
14 + -1a = -5 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
14 + -1a + 2a = -5 + -2a + 2a

Combine like terms: -1a + 2a = 1a
14 + 1a = -5 + -2a + 2a

Combine like terms: -2a + 2a = 0
14 + 1a = -5 + 0
14 + 1a = -5

Add '-14' to each side of the equation.
14 + -14 + 1a = -5 + -14

Combine like terms: 14 + -14 = 0
0 + 1a = -5 + -14
1a = -5 + -14

Combine like terms: -5 + -14 = -19
1a = -19

Divide each side by '1'.
a = -19

Simplifying
a = -19

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