3a-40=5(7a-8)

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Solution for 3a-40=5(7a-8) equation:


Simplifying
3a + -40 = 5(7a + -8)

Reorder the terms:
-40 + 3a = 5(7a + -8)

Reorder the terms:
-40 + 3a = 5(-8 + 7a)
-40 + 3a = (-8 * 5 + 7a * 5)
-40 + 3a = (-40 + 35a)

Add '40' to each side of the equation.
-40 + 40 + 3a = -40 + 40 + 35a

Combine like terms: -40 + 40 = 0
0 + 3a = -40 + 40 + 35a
3a = -40 + 40 + 35a

Combine like terms: -40 + 40 = 0
3a = 0 + 35a
3a = 35a

Solving
3a = 35a

Solving for variable 'a'.

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

Add '-35a' to each side of the equation.
3a + -35a = 35a + -35a

Combine like terms: 3a + -35a = -32a
-32a = 35a + -35a

Combine like terms: 35a + -35a = 0
-32a = 0

Divide each side by '-32'.
a = 0

Simplifying
a = 0

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