5(4a+3)-(5b-2)=0

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Solution for 5(4a+3)-(5b-2)=0 equation:


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

Reorder the terms:
5(3 + 4a) + -1(5b + -2) = 0
(3 * 5 + 4a * 5) + -1(5b + -2) = 0
(15 + 20a) + -1(5b + -2) = 0

Reorder the terms:
15 + 20a + -1(-2 + 5b) = 0
15 + 20a + (-2 * -1 + 5b * -1) = 0
15 + 20a + (2 + -5b) = 0

Reorder the terms:
15 + 2 + 20a + -5b = 0

Combine like terms: 15 + 2 = 17
17 + 20a + -5b = 0

Solving
17 + 20a + -5b = 0

Solving for variable 'a'.

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

Add '-17' to each side of the equation.
17 + 20a + -17 + -5b = 0 + -17

Reorder the terms:
17 + -17 + 20a + -5b = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 20a + -5b = 0 + -17
20a + -5b = 0 + -17

Combine like terms: 0 + -17 = -17
20a + -5b = -17

Add '5b' to each side of the equation.
20a + -5b + 5b = -17 + 5b

Combine like terms: -5b + 5b = 0
20a + 0 = -17 + 5b
20a = -17 + 5b

Divide each side by '20'.
a = -0.85 + 0.25b

Simplifying
a = -0.85 + 0.25b

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