10(3a+8)=3(2a+7)

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Solution for 10(3a+8)=3(2a+7) equation:


Simplifying
10(3a + 8) = 3(2a + 7)

Reorder the terms:
10(8 + 3a) = 3(2a + 7)
(8 * 10 + 3a * 10) = 3(2a + 7)
(80 + 30a) = 3(2a + 7)

Reorder the terms:
80 + 30a = 3(7 + 2a)
80 + 30a = (7 * 3 + 2a * 3)
80 + 30a = (21 + 6a)

Solving
80 + 30a = 21 + 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.
80 + 30a + -6a = 21 + 6a + -6a

Combine like terms: 30a + -6a = 24a
80 + 24a = 21 + 6a + -6a

Combine like terms: 6a + -6a = 0
80 + 24a = 21 + 0
80 + 24a = 21

Add '-80' to each side of the equation.
80 + -80 + 24a = 21 + -80

Combine like terms: 80 + -80 = 0
0 + 24a = 21 + -80
24a = 21 + -80

Combine like terms: 21 + -80 = -59
24a = -59

Divide each side by '24'.
a = -2.458333333

Simplifying
a = -2.458333333

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