8(k-7)=-(k+2)

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Solution for 8(k-7)=-(k+2) equation:


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

Reorder the terms:
8(-7 + k) = -1(k + 2)
(-7 * 8 + k * 8) = -1(k + 2)
(-56 + 8k) = -1(k + 2)

Reorder the terms:
-56 + 8k = -1(2 + k)
-56 + 8k = (2 * -1 + k * -1)
-56 + 8k = (-2 + -1k)

Solving
-56 + 8k = -2 + -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.
-56 + 8k + k = -2 + -1k + k

Combine like terms: 8k + k = 9k
-56 + 9k = -2 + -1k + k

Combine like terms: -1k + k = 0
-56 + 9k = -2 + 0
-56 + 9k = -2

Add '56' to each side of the equation.
-56 + 56 + 9k = -2 + 56

Combine like terms: -56 + 56 = 0
0 + 9k = -2 + 56
9k = -2 + 56

Combine like terms: -2 + 56 = 54
9k = 54

Divide each side by '9'.
k = 6

Simplifying
k = 6

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