(3a+1)=(-4a-5)

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Solution for (3a+1)=(-4a-5) equation:


Simplifying
(3a + 1) = (-4a + -5)

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

Remove parenthesis around (1 + 3a)
1 + 3a = (-4a + -5)

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

Remove parenthesis around (-5 + -4a)
1 + 3a = -5 + -4a

Solving
1 + 3a = -5 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
1 + 3a + 4a = -5 + -4a + 4a

Combine like terms: 3a + 4a = 7a
1 + 7a = -5 + -4a + 4a

Combine like terms: -4a + 4a = 0
1 + 7a = -5 + 0
1 + 7a = -5

Add '-1' to each side of the equation.
1 + -1 + 7a = -5 + -1

Combine like terms: 1 + -1 = 0
0 + 7a = -5 + -1
7a = -5 + -1

Combine like terms: -5 + -1 = -6
7a = -6

Divide each side by '7'.
a = -0.8571428571

Simplifying
a = -0.8571428571

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