3a+10=a-40

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Solution for 3a+10=a-40 equation:


Simplifying
3a + 10 = a + -40

Reorder the terms:
10 + 3a = a + -40

Reorder the terms:
10 + 3a = -40 + a

Solving
10 + 3a = -40 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
10 + 3a + -1a = -40 + a + -1a

Combine like terms: 3a + -1a = 2a
10 + 2a = -40 + a + -1a

Combine like terms: a + -1a = 0
10 + 2a = -40 + 0
10 + 2a = -40

Add '-10' to each side of the equation.
10 + -10 + 2a = -40 + -10

Combine like terms: 10 + -10 = 0
0 + 2a = -40 + -10
2a = -40 + -10

Combine like terms: -40 + -10 = -50
2a = -50

Divide each side by '2'.
a = -25

Simplifying
a = -25

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