-7(k+3)-(-8k+7)=5

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Solution for -7(k+3)-(-8k+7)=5 equation: 


Simplifying
-7(k + 3) + -1(-8k + 7) = 5

Reorder the terms:
-7(3 + k) + -1(-8k + 7) = 5
(3 * -7 + k * -7) + -1(-8k + 7) = 5
(-21 + -7k) + -1(-8k + 7) = 5

Reorder the terms:
-21 + -7k + -1(7 + -8k) = 5
-21 + -7k + (7 * -1 + -8k * -1) = 5
-21 + -7k + (-7 + 8k) = 5

Reorder the terms:
-21 + -7 + -7k + 8k = 5

Combine like terms: -21 + -7 = -28
-28 + -7k + 8k = 5

Combine like terms: -7k + 8k = 1k
-28 + 1k = 5

Solving
-28 + 1k = 5

Solving for variable 'k'.

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

Add '28' to each side of the equation.
-28 + 28 + 1k = 5 + 28

Combine like terms: -28 + 28 = 0
0 + 1k = 5 + 28
1k = 5 + 28

Combine like terms: 5 + 28 = 33
1k = 33

Divide each side by '1'.
k = 33

Simplifying
k = 33

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