5(a-4)-6=46

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Solution for 5(a-4)-6=46 equation:


Simplifying
5(a + -4) + -6 = 46

Reorder the terms:
5(-4 + a) + -6 = 46
(-4 * 5 + a * 5) + -6 = 46
(-20 + 5a) + -6 = 46

Reorder the terms:
-20 + -6 + 5a = 46

Combine like terms: -20 + -6 = -26
-26 + 5a = 46

Solving
-26 + 5a = 46

Solving for variable 'a'.

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

Add '26' to each side of the equation.
-26 + 26 + 5a = 46 + 26

Combine like terms: -26 + 26 = 0
0 + 5a = 46 + 26
5a = 46 + 26

Combine like terms: 46 + 26 = 72
5a = 72

Divide each side by '5'.
a = 14.4

Simplifying
a = 14.4

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