8(3-k)+2(k+1)=-10

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Solution for 8(3-k)+2(k+1)=-10 equation:


Simplifying
8(3 + -1k) + 2(k + 1) = -10
(3 * 8 + -1k * 8) + 2(k + 1) = -10
(24 + -8k) + 2(k + 1) = -10

Reorder the terms:
24 + -8k + 2(1 + k) = -10
24 + -8k + (1 * 2 + k * 2) = -10
24 + -8k + (2 + 2k) = -10

Reorder the terms:
24 + 2 + -8k + 2k = -10

Combine like terms: 24 + 2 = 26
26 + -8k + 2k = -10

Combine like terms: -8k + 2k = -6k
26 + -6k = -10

Solving
26 + -6k = -10

Solving for variable 'k'.

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

Add '-26' to each side of the equation.
26 + -26 + -6k = -10 + -26

Combine like terms: 26 + -26 = 0
0 + -6k = -10 + -26
-6k = -10 + -26

Combine like terms: -10 + -26 = -36
-6k = -36

Divide each side by '-6'.
k = 6

Simplifying
k = 6

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