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

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Solution for a+(-3a)+1=5+5a-(-2) equation: 


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

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

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

Multiply -1 * -2
1 + -2a = 5 + 5a + 2

Reorder the terms:
1 + -2a = 5 + 2 + 5a

Combine like terms: 5 + 2 = 7
1 + -2a = 7 + 5a

Solving
1 + -2a = 7 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
1 + -2a + -5a = 7 + 5a + -5a

Combine like terms: -2a + -5a = -7a
1 + -7a = 7 + 5a + -5a

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

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

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

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

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

Simplifying
a = -0.8571428571

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