(a+1)(15-2)+3=42

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Solution for (a+1)(15-2)+3=42 equation:


Simplifying
(a + 1)(15 + -2) + 3 = 42

Reorder the terms:
(1 + a)(15 + -2) + 3 = 42

Combine like terms: 15 + -2 = 13
(1 + a)(13) + 3 = 42

Reorder the terms for easier multiplication:
13(1 + a) + 3 = 42
(1 * 13 + a * 13) + 3 = 42
(13 + 13a) + 3 = 42

Reorder the terms:
13 + 3 + 13a = 42

Combine like terms: 13 + 3 = 16
16 + 13a = 42

Solving
16 + 13a = 42

Solving for variable 'a'.

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

Add '-16' to each side of the equation.
16 + -16 + 13a = 42 + -16

Combine like terms: 16 + -16 = 0
0 + 13a = 42 + -16
13a = 42 + -16

Combine like terms: 42 + -16 = 26
13a = 26

Divide each side by '13'.
a = 2

Simplifying
a = 2

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