2(k+7)+1=6k-1

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Solution for 2(k+7)+1=6k-1 equation:


Simplifying
2(k + 7) + 1 = 6k + -1

Reorder the terms:
2(7 + k) + 1 = 6k + -1
(7 * 2 + k * 2) + 1 = 6k + -1
(14 + 2k) + 1 = 6k + -1

Reorder the terms:
14 + 1 + 2k = 6k + -1

Combine like terms: 14 + 1 = 15
15 + 2k = 6k + -1

Reorder the terms:
15 + 2k = -1 + 6k

Solving
15 + 2k = -1 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
15 + 2k + -6k = -1 + 6k + -6k

Combine like terms: 2k + -6k = -4k
15 + -4k = -1 + 6k + -6k

Combine like terms: 6k + -6k = 0
15 + -4k = -1 + 0
15 + -4k = -1

Add '-15' to each side of the equation.
15 + -15 + -4k = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -4k = -1 + -15
-4k = -1 + -15

Combine like terms: -1 + -15 = -16
-4k = -16

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

Simplifying
k = 4

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