3-2(a-1)=4a-13

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Solution for 3-2(a-1)=4a-13 equation:


Simplifying
3 + -2(a + -1) = 4a + -13

Reorder the terms:
3 + -2(-1 + a) = 4a + -13
3 + (-1 * -2 + a * -2) = 4a + -13
3 + (2 + -2a) = 4a + -13

Combine like terms: 3 + 2 = 5
5 + -2a = 4a + -13

Reorder the terms:
5 + -2a = -13 + 4a

Solving
5 + -2a = -13 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
5 + -2a + -4a = -13 + 4a + -4a

Combine like terms: -2a + -4a = -6a
5 + -6a = -13 + 4a + -4a

Combine like terms: 4a + -4a = 0
5 + -6a = -13 + 0
5 + -6a = -13

Add '-5' to each side of the equation.
5 + -5 + -6a = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -6a = -13 + -5
-6a = -13 + -5

Combine like terms: -13 + -5 = -18
-6a = -18

Divide each side by '-6'.
a = 3

Simplifying
a = 3

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