5(5-a)=4a+37-6a

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Solution for 5(5-a)=4a+37-6a equation:


Simplifying
5(5 + -1a) = 4a + 37 + -6a
(5 * 5 + -1a * 5) = 4a + 37 + -6a
(25 + -5a) = 4a + 37 + -6a

Reorder the terms:
25 + -5a = 37 + 4a + -6a

Combine like terms: 4a + -6a = -2a
25 + -5a = 37 + -2a

Solving
25 + -5a = 37 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
25 + -5a + 2a = 37 + -2a + 2a

Combine like terms: -5a + 2a = -3a
25 + -3a = 37 + -2a + 2a

Combine like terms: -2a + 2a = 0
25 + -3a = 37 + 0
25 + -3a = 37

Add '-25' to each side of the equation.
25 + -25 + -3a = 37 + -25

Combine like terms: 25 + -25 = 0
0 + -3a = 37 + -25
-3a = 37 + -25

Combine like terms: 37 + -25 = 12
-3a = 12

Divide each side by '-3'.
a = -4

Simplifying
a = -4

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