6(k-3)-(k-4)=(k+6)-1

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Solution for 6(k-3)-(k-4)=(k+6)-1 equation:


Simplifying
6(k + -3) + -1(k + -4) = (k + 6) + -1

Reorder the terms:
6(-3 + k) + -1(k + -4) = (k + 6) + -1
(-3 * 6 + k * 6) + -1(k + -4) = (k + 6) + -1
(-18 + 6k) + -1(k + -4) = (k + 6) + -1

Reorder the terms:
-18 + 6k + -1(-4 + k) = (k + 6) + -1
-18 + 6k + (-4 * -1 + k * -1) = (k + 6) + -1
-18 + 6k + (4 + -1k) = (k + 6) + -1

Reorder the terms:
-18 + 4 + 6k + -1k = (k + 6) + -1

Combine like terms: -18 + 4 = -14
-14 + 6k + -1k = (k + 6) + -1

Combine like terms: 6k + -1k = 5k
-14 + 5k = (k + 6) + -1

Reorder the terms:
-14 + 5k = (6 + k) + -1

Remove parenthesis around (6 + k)
-14 + 5k = 6 + k + -1

Reorder the terms:
-14 + 5k = 6 + -1 + k

Combine like terms: 6 + -1 = 5
-14 + 5k = 5 + k

Solving
-14 + 5k = 5 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-14 + 5k + -1k = 5 + k + -1k

Combine like terms: 5k + -1k = 4k
-14 + 4k = 5 + k + -1k

Combine like terms: k + -1k = 0
-14 + 4k = 5 + 0
-14 + 4k = 5

Add '14' to each side of the equation.
-14 + 14 + 4k = 5 + 14

Combine like terms: -14 + 14 = 0
0 + 4k = 5 + 14
4k = 5 + 14

Combine like terms: 5 + 14 = 19
4k = 19

Divide each side by '4'.
k = 4.75

Simplifying
k = 4.75

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