8k+8+1+2k=5(4k+1)-(8k+6)

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Solution for 8k+8+1+2k=5(4k+1)-(8k+6) equation:


Simplifying
8k + 8 + 1 + 2k = 5(4k + 1) + -1(8k + 6)

Reorder the terms:
8 + 1 + 8k + 2k = 5(4k + 1) + -1(8k + 6)

Combine like terms: 8 + 1 = 9
9 + 8k + 2k = 5(4k + 1) + -1(8k + 6)

Combine like terms: 8k + 2k = 10k
9 + 10k = 5(4k + 1) + -1(8k + 6)

Reorder the terms:
9 + 10k = 5(1 + 4k) + -1(8k + 6)
9 + 10k = (1 * 5 + 4k * 5) + -1(8k + 6)
9 + 10k = (5 + 20k) + -1(8k + 6)

Reorder the terms:
9 + 10k = 5 + 20k + -1(6 + 8k)
9 + 10k = 5 + 20k + (6 * -1 + 8k * -1)
9 + 10k = 5 + 20k + (-6 + -8k)

Reorder the terms:
9 + 10k = 5 + -6 + 20k + -8k

Combine like terms: 5 + -6 = -1
9 + 10k = -1 + 20k + -8k

Combine like terms: 20k + -8k = 12k
9 + 10k = -1 + 12k

Solving
9 + 10k = -1 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
9 + 10k + -12k = -1 + 12k + -12k

Combine like terms: 10k + -12k = -2k
9 + -2k = -1 + 12k + -12k

Combine like terms: 12k + -12k = 0
9 + -2k = -1 + 0
9 + -2k = -1

Add '-9' to each side of the equation.
9 + -9 + -2k = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -2k = -1 + -9
-2k = -1 + -9

Combine like terms: -1 + -9 = -10
-2k = -10

Divide each side by '-2'.
k = 5

Simplifying
k = 5

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