1.5(6a-4)=1.5(2a-5)+6

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Solution for 1.5(6a-4)=1.5(2a-5)+6 equation:


Simplifying
1.5(6a + -4) = 1.5(2a + -5) + 6

Reorder the terms:
1.5(-4 + 6a) = 1.5(2a + -5) + 6
(-4 * 1.5 + 6a * 1.5) = 1.5(2a + -5) + 6
(-6 + 9a) = 1.5(2a + -5) + 6

Reorder the terms:
-6 + 9a = 1.5(-5 + 2a) + 6
-6 + 9a = (-5 * 1.5 + 2a * 1.5) + 6
-6 + 9a = (-7.5 + 3a) + 6

Reorder the terms:
-6 + 9a = -7.5 + 6 + 3a

Combine like terms: -7.5 + 6 = -1.5
-6 + 9a = -1.5 + 3a

Solving
-6 + 9a = -1.5 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-6 + 9a + -3a = -1.5 + 3a + -3a

Combine like terms: 9a + -3a = 6a
-6 + 6a = -1.5 + 3a + -3a

Combine like terms: 3a + -3a = 0
-6 + 6a = -1.5 + 0
-6 + 6a = -1.5

Add '6' to each side of the equation.
-6 + 6 + 6a = -1.5 + 6

Combine like terms: -6 + 6 = 0
0 + 6a = -1.5 + 6
6a = -1.5 + 6

Combine like terms: -1.5 + 6 = 4.5
6a = 4.5

Divide each side by '6'.
a = 0.75

Simplifying
a = 0.75

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