6(k+6)-(5k-9)=-7

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Solution for 6(k+6)-(5k-9)=-7 equation: 


Simplifying
6(k + 6) + -1(5k + -9) = -7

Reorder the terms:
6(6 + k) + -1(5k + -9) = -7
(6 * 6 + k * 6) + -1(5k + -9) = -7
(36 + 6k) + -1(5k + -9) = -7

Reorder the terms:
36 + 6k + -1(-9 + 5k) = -7
36 + 6k + (-9 * -1 + 5k * -1) = -7
36 + 6k + (9 + -5k) = -7

Reorder the terms:
36 + 9 + 6k + -5k = -7

Combine like terms: 36 + 9 = 45
45 + 6k + -5k = -7

Combine like terms: 6k + -5k = 1k
45 + 1k = -7

Solving
45 + 1k = -7

Solving for variable 'k'.

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

Add '-45' to each side of the equation.
45 + -45 + 1k = -7 + -45

Combine like terms: 45 + -45 = 0
0 + 1k = -7 + -45
1k = -7 + -45

Combine like terms: -7 + -45 = -52
1k = -52

Divide each side by '1'.
k = -52

Simplifying
k = -52

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