3-4(k+5)-2(6-3k)=5

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Solution for 3-4(k+5)-2(6-3k)=5 equation:


Simplifying
3 + -4(k + 5) + -2(6 + -3k) = 5

Reorder the terms:
3 + -4(5 + k) + -2(6 + -3k) = 5
3 + (5 * -4 + k * -4) + -2(6 + -3k) = 5
3 + (-20 + -4k) + -2(6 + -3k) = 5
3 + -20 + -4k + (6 * -2 + -3k * -2) = 5
3 + -20 + -4k + (-12 + 6k) = 5

Reorder the terms:
3 + -20 + -12 + -4k + 6k = 5

Combine like terms: 3 + -20 = -17
-17 + -12 + -4k + 6k = 5

Combine like terms: -17 + -12 = -29
-29 + -4k + 6k = 5

Combine like terms: -4k + 6k = 2k
-29 + 2k = 5

Solving
-29 + 2k = 5

Solving for variable 'k'.

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

Add '29' to each side of the equation.
-29 + 29 + 2k = 5 + 29

Combine like terms: -29 + 29 = 0
0 + 2k = 5 + 29
2k = 5 + 29

Combine like terms: 5 + 29 = 34
2k = 34

Divide each side by '2'.
k = 17

Simplifying
k = 17

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