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

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


Simplifying
2(5k + 7) + -4(k + 8) = 0

Reorder the terms:
2(7 + 5k) + -4(k + 8) = 0
(7 * 2 + 5k * 2) + -4(k + 8) = 0
(14 + 10k) + -4(k + 8) = 0

Reorder the terms:
14 + 10k + -4(8 + k) = 0
14 + 10k + (8 * -4 + k * -4) = 0
14 + 10k + (-32 + -4k) = 0

Reorder the terms:
14 + -32 + 10k + -4k = 0

Combine like terms: 14 + -32 = -18
-18 + 10k + -4k = 0

Combine like terms: 10k + -4k = 6k
-18 + 6k = 0

Solving
-18 + 6k = 0

Solving for variable 'k'.

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

Add '18' to each side of the equation.
-18 + 18 + 6k = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 6k = 0 + 18
6k = 0 + 18

Combine like terms: 0 + 18 = 18
6k = 18

Divide each side by '6'.
k = 3

Simplifying
k = 3

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