8(5+k)-2=17+4k

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Solution for 8(5+k)-2=17+4k equation:


Simplifying
8(5 + k) + -2 = 17 + 4k
(5 * 8 + k * 8) + -2 = 17 + 4k
(40 + 8k) + -2 = 17 + 4k

Reorder the terms:
40 + -2 + 8k = 17 + 4k

Combine like terms: 40 + -2 = 38
38 + 8k = 17 + 4k

Solving
38 + 8k = 17 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
38 + 8k + -4k = 17 + 4k + -4k

Combine like terms: 8k + -4k = 4k
38 + 4k = 17 + 4k + -4k

Combine like terms: 4k + -4k = 0
38 + 4k = 17 + 0
38 + 4k = 17

Add '-38' to each side of the equation.
38 + -38 + 4k = 17 + -38

Combine like terms: 38 + -38 = 0
0 + 4k = 17 + -38
4k = 17 + -38

Combine like terms: 17 + -38 = -21
4k = -21

Divide each side by '4'.
k = -5.25

Simplifying
k = -5.25

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