3a-3=11(a-5)

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Solution for 3a-3=11(a-5) equation:


Simplifying
3a + -3 = 11(a + -5)

Reorder the terms:
-3 + 3a = 11(a + -5)

Reorder the terms:
-3 + 3a = 11(-5 + a)
-3 + 3a = (-5 * 11 + a * 11)
-3 + 3a = (-55 + 11a)

Solving
-3 + 3a = -55 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
-3 + 3a + -11a = -55 + 11a + -11a

Combine like terms: 3a + -11a = -8a
-3 + -8a = -55 + 11a + -11a

Combine like terms: 11a + -11a = 0
-3 + -8a = -55 + 0
-3 + -8a = -55

Add '3' to each side of the equation.
-3 + 3 + -8a = -55 + 3

Combine like terms: -3 + 3 = 0
0 + -8a = -55 + 3
-8a = -55 + 3

Combine like terms: -55 + 3 = -52
-8a = -52

Divide each side by '-8'.
a = 6.5

Simplifying
a = 6.5

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