3(7k+3)-6k=5k-1

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Solution for 3(7k+3)-6k=5k-1 equation:


Simplifying
3(7k + 3) + -6k = 5k + -1

Reorder the terms:
3(3 + 7k) + -6k = 5k + -1
(3 * 3 + 7k * 3) + -6k = 5k + -1
(9 + 21k) + -6k = 5k + -1

Combine like terms: 21k + -6k = 15k
9 + 15k = 5k + -1

Reorder the terms:
9 + 15k = -1 + 5k

Solving
9 + 15k = -1 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
9 + 15k + -5k = -1 + 5k + -5k

Combine like terms: 15k + -5k = 10k
9 + 10k = -1 + 5k + -5k

Combine like terms: 5k + -5k = 0
9 + 10k = -1 + 0
9 + 10k = -1

Add '-9' to each side of the equation.
9 + -9 + 10k = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 10k = -1 + -9
10k = -1 + -9

Combine like terms: -1 + -9 = -10
10k = -10

Divide each side by '10'.
k = -1

Simplifying
k = -1

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