(1-2a)(3+5)-2=-10

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Solution for (1-2a)(3+5)-2=-10 equation:


Simplifying
(1 + -2a)(3 + 5) + -2 = -10

Combine like terms: 3 + 5 = 8
(1 + -2a)(8) + -2 = -10

Reorder the terms for easier multiplication:
8(1 + -2a) + -2 = -10
(1 * 8 + -2a * 8) + -2 = -10
(8 + -16a) + -2 = -10

Reorder the terms:
8 + -2 + -16a = -10

Combine like terms: 8 + -2 = 6
6 + -16a = -10

Solving
6 + -16a = -10

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + -16a = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -16a = -10 + -6
-16a = -10 + -6

Combine like terms: -10 + -6 = -16
-16a = -16

Divide each side by '-16'.
a = 1

Simplifying
a = 1

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