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

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Solution for 6(k+7)-(5k-8)=-5 equation: 


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

Reorder the terms:
6(7 + k) + -1(5k + -8) = -5
(7 * 6 + k * 6) + -1(5k + -8) = -5
(42 + 6k) + -1(5k + -8) = -5

Reorder the terms:
42 + 6k + -1(-8 + 5k) = -5
42 + 6k + (-8 * -1 + 5k * -1) = -5
42 + 6k + (8 + -5k) = -5

Reorder the terms:
42 + 8 + 6k + -5k = -5

Combine like terms: 42 + 8 = 50
50 + 6k + -5k = -5

Combine like terms: 6k + -5k = 1k
50 + 1k = -5

Solving
50 + 1k = -5

Solving for variable 'k'.

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

Add '-50' to each side of the equation.
50 + -50 + 1k = -5 + -50

Combine like terms: 50 + -50 = 0
0 + 1k = -5 + -50
1k = -5 + -50

Combine like terms: -5 + -50 = -55
1k = -55

Divide each side by '1'.
k = -55

Simplifying
k = -55

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