7(k-8)+11=-(k-3)

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Solution for 7(k-8)+11=-(k-3) equation:


Simplifying
7(k + -8) + 11 = -1(k + -3)

Reorder the terms:
7(-8 + k) + 11 = -1(k + -3)
(-8 * 7 + k * 7) + 11 = -1(k + -3)
(-56 + 7k) + 11 = -1(k + -3)

Reorder the terms:
-56 + 11 + 7k = -1(k + -3)

Combine like terms: -56 + 11 = -45
-45 + 7k = -1(k + -3)

Reorder the terms:
-45 + 7k = -1(-3 + k)
-45 + 7k = (-3 * -1 + k * -1)
-45 + 7k = (3 + -1k)

Solving
-45 + 7k = 3 + -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.
-45 + 7k + k = 3 + -1k + k

Combine like terms: 7k + k = 8k
-45 + 8k = 3 + -1k + k

Combine like terms: -1k + k = 0
-45 + 8k = 3 + 0
-45 + 8k = 3

Add '45' to each side of the equation.
-45 + 45 + 8k = 3 + 45

Combine like terms: -45 + 45 = 0
0 + 8k = 3 + 45
8k = 3 + 45

Combine like terms: 3 + 45 = 48
8k = 48

Divide each side by '8'.
k = 6

Simplifying
k = 6

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