9(5k+2)+4(7-10k)=0

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Solution for 9(5k+2)+4(7-10k)=0 equation: 


Simplifying
9(5k + 2) + 4(7 + -10k) = 0

Reorder the terms:
9(2 + 5k) + 4(7 + -10k) = 0
(2 * 9 + 5k * 9) + 4(7 + -10k) = 0
(18 + 45k) + 4(7 + -10k) = 0
18 + 45k + (7 * 4 + -10k * 4) = 0
18 + 45k + (28 + -40k) = 0

Reorder the terms:
18 + 28 + 45k + -40k = 0

Combine like terms: 18 + 28 = 46
46 + 45k + -40k = 0

Combine like terms: 45k + -40k = 5k
46 + 5k = 0

Solving
46 + 5k = 0

Solving for variable 'k'.

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

Add '-46' to each side of the equation.
46 + -46 + 5k = 0 + -46

Combine like terms: 46 + -46 = 0
0 + 5k = 0 + -46
5k = 0 + -46

Combine like terms: 0 + -46 = -46
5k = -46

Divide each side by '5'.
k = -9.2

Simplifying
k = -9.2

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