3(k-1)+5=17-(8+k)

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Solution for 3(k-1)+5=17-(8+k) equation:


Simplifying
3(k + -1) + 5 = 17 + -1(8 + k)

Reorder the terms:
3(-1 + k) + 5 = 17 + -1(8 + k)
(-1 * 3 + k * 3) + 5 = 17 + -1(8 + k)
(-3 + 3k) + 5 = 17 + -1(8 + k)

Reorder the terms:
-3 + 5 + 3k = 17 + -1(8 + k)

Combine like terms: -3 + 5 = 2
2 + 3k = 17 + -1(8 + k)
2 + 3k = 17 + (8 * -1 + k * -1)
2 + 3k = 17 + (-8 + -1k)

Combine like terms: 17 + -8 = 9
2 + 3k = 9 + -1k

Solving
2 + 3k = 9 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
2 + 3k + k = 9 + -1k + k

Combine like terms: 3k + k = 4k
2 + 4k = 9 + -1k + k

Combine like terms: -1k + k = 0
2 + 4k = 9 + 0
2 + 4k = 9

Add '-2' to each side of the equation.
2 + -2 + 4k = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 4k = 9 + -2
4k = 9 + -2

Combine like terms: 9 + -2 = 7
4k = 7

Divide each side by '4'.
k = 1.75

Simplifying
k = 1.75

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