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

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


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

Reorder the terms:
4 + -3(-2 + a) = 2(3a + -2)
4 + (-2 * -3 + a * -3) = 2(3a + -2)
4 + (6 + -3a) = 2(3a + -2)

Combine like terms: 4 + 6 = 10
10 + -3a = 2(3a + -2)

Reorder the terms:
10 + -3a = 2(-2 + 3a)
10 + -3a = (-2 * 2 + 3a * 2)
10 + -3a = (-4 + 6a)

Solving
10 + -3a = -4 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
10 + -3a + -6a = -4 + 6a + -6a

Combine like terms: -3a + -6a = -9a
10 + -9a = -4 + 6a + -6a

Combine like terms: 6a + -6a = 0
10 + -9a = -4 + 0
10 + -9a = -4

Add '-10' to each side of the equation.
10 + -10 + -9a = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -9a = -4 + -10
-9a = -4 + -10

Combine like terms: -4 + -10 = -14
-9a = -14

Divide each side by '-9'.
a = 1.555555556

Simplifying
a = 1.555555556

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