3(2a-7.5)=5a-2.43-2a

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Solution for 3(2a-7.5)=5a-2.43-2a equation:


Simplifying
3(2a + -7.5) = 5a + -2.43 + -2a

Reorder the terms:
3(-7.5 + 2a) = 5a + -2.43 + -2a
(-7.5 * 3 + 2a * 3) = 5a + -2.43 + -2a
(-22.5 + 6a) = 5a + -2.43 + -2a

Reorder the terms:
-22.5 + 6a = -2.43 + 5a + -2a

Combine like terms: 5a + -2a = 3a
-22.5 + 6a = -2.43 + 3a

Solving
-22.5 + 6a = -2.43 + 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.
-22.5 + 6a + -3a = -2.43 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-22.5 + 3a = -2.43 + 3a + -3a

Combine like terms: 3a + -3a = 0
-22.5 + 3a = -2.43 + 0
-22.5 + 3a = -2.43

Add '22.5' to each side of the equation.
-22.5 + 22.5 + 3a = -2.43 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + 3a = -2.43 + 22.5
3a = -2.43 + 22.5

Combine like terms: -2.43 + 22.5 = 20.07
3a = 20.07

Divide each side by '3'.
a = 6.69

Simplifying
a = 6.69

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