.5(2a+b)-(4a+b)=

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Solution for .5(2a+b)-(4a+b)= equation:


Simplifying
0.5(2a + b) + -1(4a + b) = 0
(2a * 0.5 + b * 0.5) + -1(4a + b) = 0
(1a + 0.5b) + -1(4a + b) = 0
1a + 0.5b + (4a * -1 + b * -1) = 0
1a + 0.5b + (-4a + -1b) = 0

Reorder the terms:
1a + -4a + 0.5b + -1b = 0

Combine like terms: 1a + -4a = -3a
-3a + 0.5b + -1b = 0

Combine like terms: 0.5b + -1b = -0.5b
-3a + -0.5b = 0

Solving
-3a + -0.5b = 0

Solving for variable 'a'.

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

Add '0.5b' to each side of the equation.
-3a + -0.5b + 0.5b = 0 + 0.5b

Combine like terms: -0.5b + 0.5b = 0.0
-3a + 0.0 = 0 + 0.5b
-3a = 0 + 0.5b
Remove the zero:
-3a = 0.5b

Divide each side by '-3'.
a = -0.1666666667b

Simplifying
a = -0.1666666667b

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