10(3-k)+8=-8(k-2)-11

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Solution for 10(3-k)+8=-8(k-2)-11 equation: 


Simplifying
10(3 + -1k) + 8 = -8(k + -2) + -11
(3 * 10 + -1k * 10) + 8 = -8(k + -2) + -11
(30 + -10k) + 8 = -8(k + -2) + -11

Reorder the terms:
30 + 8 + -10k = -8(k + -2) + -11

Combine like terms: 30 + 8 = 38
38 + -10k = -8(k + -2) + -11

Reorder the terms:
38 + -10k = -8(-2 + k) + -11
38 + -10k = (-2 * -8 + k * -8) + -11
38 + -10k = (16 + -8k) + -11

Reorder the terms:
38 + -10k = 16 + -11 + -8k

Combine like terms: 16 + -11 = 5
38 + -10k = 5 + -8k

Solving
38 + -10k = 5 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
38 + -10k + 8k = 5 + -8k + 8k

Combine like terms: -10k + 8k = -2k
38 + -2k = 5 + -8k + 8k

Combine like terms: -8k + 8k = 0
38 + -2k = 5 + 0
38 + -2k = 5

Add '-38' to each side of the equation.
38 + -38 + -2k = 5 + -38

Combine like terms: 38 + -38 = 0
0 + -2k = 5 + -38
-2k = 5 + -38

Combine like terms: 5 + -38 = -33
-2k = -33

Divide each side by '-2'.
k = 16.5

Simplifying
k = 16.5

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