(5-2a)(11-7)-5=-9

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Solution for (5-2a)(11-7)-5=-9 equation:


Simplifying
(5 + -2a)(11 + -7) + -5 = -9

Combine like terms: 11 + -7 = 4
(5 + -2a)(4) + -5 = -9

Reorder the terms for easier multiplication:
4(5 + -2a) + -5 = -9
(5 * 4 + -2a * 4) + -5 = -9
(20 + -8a) + -5 = -9

Reorder the terms:
20 + -5 + -8a = -9

Combine like terms: 20 + -5 = 15
15 + -8a = -9

Solving
15 + -8a = -9

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 + -8a = -9 + -15

Combine like terms: 15 + -15 = 0
0 + -8a = -9 + -15
-8a = -9 + -15

Combine like terms: -9 + -15 = -24
-8a = -24

Divide each side by '-8'.
a = 3

Simplifying
a = 3

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