0.75*4a-1-5=0.25*3-2a+11

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Solution for 0.75*4a-1-5=0.25*3-2a+11 equation:


Simplifying
0.75 * 4a + -1 + -5 = 0.25 * 3 + -2a + 11

Multiply 0.75 * 4
3a + -1 + -5 = 0.25 * 3 + -2a + 11

Reorder the terms:
-1 + -5 + 3a = 0.25 * 3 + -2a + 11

Combine like terms: -1 + -5 = -6
-6 + 3a = 0.25 * 3 + -2a + 11

Multiply 0.25 * 3
-6 + 3a = 0.75 + -2a + 11

Reorder the terms:
-6 + 3a = 0.75 + 11 + -2a

Combine like terms: 0.75 + 11 = 11.75
-6 + 3a = 11.75 + -2a

Solving
-6 + 3a = 11.75 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-6 + 3a + 2a = 11.75 + -2a + 2a

Combine like terms: 3a + 2a = 5a
-6 + 5a = 11.75 + -2a + 2a

Combine like terms: -2a + 2a = 0
-6 + 5a = 11.75 + 0
-6 + 5a = 11.75

Add '6' to each side of the equation.
-6 + 6 + 5a = 11.75 + 6

Combine like terms: -6 + 6 = 0
0 + 5a = 11.75 + 6
5a = 11.75 + 6

Combine like terms: 11.75 + 6 = 17.75
5a = 17.75

Divide each side by '5'.
a = 3.55

Simplifying
a = 3.55

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