3-4a=5[a-3]

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Solution for 3-4a=5[a-3] equation:


Simplifying
3 + -4a = 5[a + -3]

Reorder the terms:
3 + -4a = 5[-3 + a]
3 + -4a = [-3 * 5 + a * 5]
3 + -4a = [-15 + 5a]

Solving
3 + -4a = -15 + 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.
3 + -4a + -5a = -15 + 5a + -5a

Combine like terms: -4a + -5a = -9a
3 + -9a = -15 + 5a + -5a

Combine like terms: 5a + -5a = 0
3 + -9a = -15 + 0
3 + -9a = -15

Add '-3' to each side of the equation.
3 + -3 + -9a = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -9a = -15 + -3
-9a = -15 + -3

Combine like terms: -15 + -3 = -18
-9a = -18

Divide each side by '-9'.
a = 2

Simplifying
a = 2

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