(5a+6)3=78

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Solution for (5a+6)3=78 equation:


Simplifying
(5a + 6) * 3 = 78

Reorder the terms:
(6 + 5a) * 3 = 78

Reorder the terms for easier multiplication:
3(6 + 5a) = 78
(6 * 3 + 5a * 3) = 78
(18 + 15a) = 78

Solving
18 + 15a = 78

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + -18 + 15a = 78 + -18

Combine like terms: 18 + -18 = 0
0 + 15a = 78 + -18
15a = 78 + -18

Combine like terms: 78 + -18 = 60
15a = 60

Divide each side by '15'.
a = 4

Simplifying
a = 4

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