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

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


Simplifying
4(a + 4b) + -5(2a + 5b) = 0
(a * 4 + 4b * 4) + -5(2a + 5b) = 0
(4a + 16b) + -5(2a + 5b) = 0
4a + 16b + (2a * -5 + 5b * -5) = 0
4a + 16b + (-10a + -25b) = 0

Reorder the terms:
4a + -10a + 16b + -25b = 0

Combine like terms: 4a + -10a = -6a
-6a + 16b + -25b = 0

Combine like terms: 16b + -25b = -9b
-6a + -9b = 0

Solving
-6a + -9b = 0

Solving for variable 'a'.

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

Add '9b' to each side of the equation.
-6a + -9b + 9b = 0 + 9b

Combine like terms: -9b + 9b = 0
-6a + 0 = 0 + 9b
-6a = 0 + 9b
Remove the zero:
-6a = 9b

Divide each side by '-6'.
a = -1.5b

Simplifying
a = -1.5b

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