3(a+10)=2(3a+24)

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


Simplifying
3(a + 10) = 2(3a + 24)

Reorder the terms:
3(10 + a) = 2(3a + 24)
(10 * 3 + a * 3) = 2(3a + 24)
(30 + 3a) = 2(3a + 24)

Reorder the terms:
30 + 3a = 2(24 + 3a)
30 + 3a = (24 * 2 + 3a * 2)
30 + 3a = (48 + 6a)

Solving
30 + 3a = 48 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
30 + 3a + -6a = 48 + 6a + -6a

Combine like terms: 3a + -6a = -3a
30 + -3a = 48 + 6a + -6a

Combine like terms: 6a + -6a = 0
30 + -3a = 48 + 0
30 + -3a = 48

Add '-30' to each side of the equation.
30 + -30 + -3a = 48 + -30

Combine like terms: 30 + -30 = 0
0 + -3a = 48 + -30
-3a = 48 + -30

Combine like terms: 48 + -30 = 18
-3a = 18

Divide each side by '-3'.
a = -6

Simplifying
a = -6

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