(11-4)(3-2a)-6=13

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Solution for (11-4)(3-2a)-6=13 equation:


Simplifying
(11 + -4)(3 + -2a) + -6 = 13

Combine like terms: 11 + -4 = 7
(7)(3 + -2a) + -6 = 13
(3 * 7 + -2a * 7) + -6 = 13
(21 + -14a) + -6 = 13

Reorder the terms:
21 + -6 + -14a = 13

Combine like terms: 21 + -6 = 15
15 + -14a = 13

Solving
15 + -14a = 13

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + -15 + -14a = 13 + -15

Combine like terms: 15 + -15 = 0
0 + -14a = 13 + -15
-14a = 13 + -15

Combine like terms: 13 + -15 = -2
-14a = -2

Divide each side by '-14'.
a = 0.1428571429

Simplifying
a = 0.1428571429

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