0.25(a-4)+0.75(a+2)=1.5

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Solution for 0.25(a-4)+0.75(a+2)=1.5 equation: 


Simplifying
0.25(a + -4) + 0.75(a + 2) = 1.5

Reorder the terms:
0.25(-4 + a) + 0.75(a + 2) = 1.5
(-4 * 0.25 + a * 0.25) + 0.75(a + 2) = 1.5
(-1 + 0.25a) + 0.75(a + 2) = 1.5

Reorder the terms:
-1 + 0.25a + 0.75(2 + a) = 1.5
-1 + 0.25a + (2 * 0.75 + a * 0.75) = 1.5
-1 + 0.25a + (1.5 + 0.75a) = 1.5

Reorder the terms:
-1 + 1.5 + 0.25a + 0.75a = 1.5

Combine like terms: -1 + 1.5 = 0.5
0.5 + 0.25a + 0.75a = 1.5

Combine like terms: 0.25a + 0.75a = 1a
0.5 + 1a = 1.5

Solving
0.5 + 1a = 1.5

Solving for variable 'a'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1a = 1.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1a = 1.5 + -0.5
1a = 1.5 + -0.5

Combine like terms: 1.5 + -0.5 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1

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