(2a+1)=8-(3a+3)

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Solution for (2a+1)=8-(3a+3) equation:


Simplifying
(2a + 1) = 8 + -1(3a + 3)

Reorder the terms:
(1 + 2a) = 8 + -1(3a + 3)

Remove parenthesis around (1 + 2a)
1 + 2a = 8 + -1(3a + 3)

Reorder the terms:
1 + 2a = 8 + -1(3 + 3a)
1 + 2a = 8 + (3 * -1 + 3a * -1)
1 + 2a = 8 + (-3 + -3a)

Combine like terms: 8 + -3 = 5
1 + 2a = 5 + -3a

Solving
1 + 2a = 5 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
1 + 2a + 3a = 5 + -3a + 3a

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

Combine like terms: -3a + 3a = 0
1 + 5a = 5 + 0
1 + 5a = 5

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

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

Combine like terms: 5 + -1 = 4
5a = 4

Divide each side by '5'.
a = 0.8

Simplifying
a = 0.8

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