-22=-5(k+6)+3(k+4)

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Solution for -22=-5(k+6)+3(k+4) equation:


Simplifying
-22 = -5(k + 6) + 3(k + 4)

Reorder the terms:
-22 = -5(6 + k) + 3(k + 4)
-22 = (6 * -5 + k * -5) + 3(k + 4)
-22 = (-30 + -5k) + 3(k + 4)

Reorder the terms:
-22 = -30 + -5k + 3(4 + k)
-22 = -30 + -5k + (4 * 3 + k * 3)
-22 = -30 + -5k + (12 + 3k)

Reorder the terms:
-22 = -30 + 12 + -5k + 3k

Combine like terms: -30 + 12 = -18
-22 = -18 + -5k + 3k

Combine like terms: -5k + 3k = -2k
-22 = -18 + -2k

Solving
-22 = -18 + -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.
-22 + 2k = -18 + -2k + 2k

Combine like terms: -2k + 2k = 0
-22 + 2k = -18 + 0
-22 + 2k = -18

Add '22' to each side of the equation.
-22 + 22 + 2k = -18 + 22

Combine like terms: -22 + 22 = 0
0 + 2k = -18 + 22
2k = -18 + 22

Combine like terms: -18 + 22 = 4
2k = 4

Divide each side by '2'.
k = 2

Simplifying
k = 2

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