3(2k+5)=2k+11

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Solution for 3(2k+5)=2k+11 equation:


Simplifying
3(2k + 5) = 2k + 11

Reorder the terms:
3(5 + 2k) = 2k + 11
(5 * 3 + 2k * 3) = 2k + 11
(15 + 6k) = 2k + 11

Reorder the terms:
15 + 6k = 11 + 2k

Solving
15 + 6k = 11 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
15 + 6k + -2k = 11 + 2k + -2k

Combine like terms: 6k + -2k = 4k
15 + 4k = 11 + 2k + -2k

Combine like terms: 2k + -2k = 0
15 + 4k = 11 + 0
15 + 4k = 11

Add '-15' to each side of the equation.
15 + -15 + 4k = 11 + -15

Combine like terms: 15 + -15 = 0
0 + 4k = 11 + -15
4k = 11 + -15

Combine like terms: 11 + -15 = -4
4k = -4

Divide each side by '4'.
k = -1

Simplifying
k = -1

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