16-3k+24+10k=2(-4k-13)

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Solution for 16-3k+24+10k=2(-4k-13) equation:


Simplifying
16 + -3k + 24 + 10k = 2(-4k + -13)

Reorder the terms:
16 + 24 + -3k + 10k = 2(-4k + -13)

Combine like terms: 16 + 24 = 40
40 + -3k + 10k = 2(-4k + -13)

Combine like terms: -3k + 10k = 7k
40 + 7k = 2(-4k + -13)

Reorder the terms:
40 + 7k = 2(-13 + -4k)
40 + 7k = (-13 * 2 + -4k * 2)
40 + 7k = (-26 + -8k)

Solving
40 + 7k = -26 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
40 + 7k + 8k = -26 + -8k + 8k

Combine like terms: 7k + 8k = 15k
40 + 15k = -26 + -8k + 8k

Combine like terms: -8k + 8k = 0
40 + 15k = -26 + 0
40 + 15k = -26

Add '-40' to each side of the equation.
40 + -40 + 15k = -26 + -40

Combine like terms: 40 + -40 = 0
0 + 15k = -26 + -40
15k = -26 + -40

Combine like terms: -26 + -40 = -66
15k = -66

Divide each side by '15'.
k = -4.4

Simplifying
k = -4.4

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