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

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

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

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

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

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

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

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

Combine like terms: -6 + -1 = -7
-14 + 5k = -7 + -1k

Solving
-14 + 5k = -7 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-14 + 5k + k = -7 + -1k + k

Combine like terms: 5k + k = 6k
-14 + 6k = -7 + -1k + k

Combine like terms: -1k + k = 0
-14 + 6k = -7 + 0
-14 + 6k = -7

Add '14' to each side of the equation.
-14 + 14 + 6k = -7 + 14

Combine like terms: -14 + 14 = 0
0 + 6k = -7 + 14
6k = -7 + 14

Combine like terms: -7 + 14 = 7
6k = 7

Divide each side by '6'.
k = 1.166666667

Simplifying
k = 1.166666667

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