5a-6=10(2+3a)+24

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Solution for 5a-6=10(2+3a)+24 equation:


Simplifying
5a + -6 = 10(2 + 3a) + 24

Reorder the terms:
-6 + 5a = 10(2 + 3a) + 24
-6 + 5a = (2 * 10 + 3a * 10) + 24
-6 + 5a = (20 + 30a) + 24

Reorder the terms:
-6 + 5a = 20 + 24 + 30a

Combine like terms: 20 + 24 = 44
-6 + 5a = 44 + 30a

Solving
-6 + 5a = 44 + 30a

Solving for variable 'a'.

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

Add '-30a' to each side of the equation.
-6 + 5a + -30a = 44 + 30a + -30a

Combine like terms: 5a + -30a = -25a
-6 + -25a = 44 + 30a + -30a

Combine like terms: 30a + -30a = 0
-6 + -25a = 44 + 0
-6 + -25a = 44

Add '6' to each side of the equation.
-6 + 6 + -25a = 44 + 6

Combine like terms: -6 + 6 = 0
0 + -25a = 44 + 6
-25a = 44 + 6

Combine like terms: 44 + 6 = 50
-25a = 50

Divide each side by '-25'.
a = -2

Simplifying
a = -2

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