4(2a+5b)-3(4b-a)=

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Solution for 4(2a+5b)-3(4b-a)= equation:


Simplifying
4(2a + 5b) + -3(4b + -1a) = 0
(2a * 4 + 5b * 4) + -3(4b + -1a) = 0
(8a + 20b) + -3(4b + -1a) = 0

Reorder the terms:
8a + 20b + -3(-1a + 4b) = 0
8a + 20b + (-1a * -3 + 4b * -3) = 0
8a + 20b + (3a + -12b) = 0

Reorder the terms:
8a + 3a + 20b + -12b = 0

Combine like terms: 8a + 3a = 11a
11a + 20b + -12b = 0

Combine like terms: 20b + -12b = 8b
11a + 8b = 0

Solving
11a + 8b = 0

Solving for variable 'a'.

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

Add '-8b' to each side of the equation.
11a + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
11a + 0 = 0 + -8b
11a = 0 + -8b
Remove the zero:
11a = -8b

Divide each side by '11'.
a = -0.7272727273b

Simplifying
a = -0.7272727273b

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