9(k+5)+10k=-6(1-6k)

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Solution for 9(k+5)+10k=-6(1-6k) equation:


Simplifying
9(k + 5) + 10k = -6(1 + -6k)

Reorder the terms:
9(5 + k) + 10k = -6(1 + -6k)
(5 * 9 + k * 9) + 10k = -6(1 + -6k)
(45 + 9k) + 10k = -6(1 + -6k)

Combine like terms: 9k + 10k = 19k
45 + 19k = -6(1 + -6k)
45 + 19k = (1 * -6 + -6k * -6)
45 + 19k = (-6 + 36k)

Solving
45 + 19k = -6 + 36k

Solving for variable 'k'.

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

Add '-36k' to each side of the equation.
45 + 19k + -36k = -6 + 36k + -36k

Combine like terms: 19k + -36k = -17k
45 + -17k = -6 + 36k + -36k

Combine like terms: 36k + -36k = 0
45 + -17k = -6 + 0
45 + -17k = -6

Add '-45' to each side of the equation.
45 + -45 + -17k = -6 + -45

Combine like terms: 45 + -45 = 0
0 + -17k = -6 + -45
-17k = -6 + -45

Combine like terms: -6 + -45 = -51
-17k = -51

Divide each side by '-17'.
k = 3

Simplifying
k = 3

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