-2k+7k=4(5-6k)+3(8k+5)

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Solution for -2k+7k=4(5-6k)+3(8k+5) equation:


Simplifying
-2k + 7k = 4(5 + -6k) + 3(8k + 5)

Combine like terms: -2k + 7k = 5k
5k = 4(5 + -6k) + 3(8k + 5)
5k = (5 * 4 + -6k * 4) + 3(8k + 5)
5k = (20 + -24k) + 3(8k + 5)

Reorder the terms:
5k = 20 + -24k + 3(5 + 8k)
5k = 20 + -24k + (5 * 3 + 8k * 3)
5k = 20 + -24k + (15 + 24k)

Reorder the terms:
5k = 20 + 15 + -24k + 24k

Combine like terms: 20 + 15 = 35
5k = 35 + -24k + 24k

Combine like terms: -24k + 24k = 0
5k = 35 + 0
5k = 35

Solving
5k = 35

Solving for variable 'k'.

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

Divide each side by '5'.
k = 7

Simplifying
k = 7

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