(3k+2)2=100

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Solution for (3k+2)2=100 equation:


Simplifying
(3k + 2) * 2 = 100

Reorder the terms:
(2 + 3k) * 2 = 100

Reorder the terms for easier multiplication:
2(2 + 3k) = 100
(2 * 2 + 3k * 2) = 100
(4 + 6k) = 100

Solving
4 + 6k = 100

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -4 + 6k = 100 + -4

Combine like terms: 4 + -4 = 0
0 + 6k = 100 + -4
6k = 100 + -4

Combine like terms: 100 + -4 = 96
6k = 96

Divide each side by '6'.
k = 16

Simplifying
k = 16

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