3(2k+1)-2(m-4)=10

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Solution for 3(2k+1)-2(m-4)=10 equation: 


Simplifying
3(2k + 1) + -2(m + -4) = 10

Reorder the terms:
3(1 + 2k) + -2(m + -4) = 10
(1 * 3 + 2k * 3) + -2(m + -4) = 10
(3 + 6k) + -2(m + -4) = 10

Reorder the terms:
3 + 6k + -2(-4 + m) = 10
3 + 6k + (-4 * -2 + m * -2) = 10
3 + 6k + (8 + -2m) = 10

Reorder the terms:
3 + 8 + 6k + -2m = 10

Combine like terms: 3 + 8 = 11
11 + 6k + -2m = 10

Solving
11 + 6k + -2m = 10

Solving for variable 'k'.

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

Add '-11' to each side of the equation.
11 + 6k + -11 + -2m = 10 + -11

Reorder the terms:
11 + -11 + 6k + -2m = 10 + -11

Combine like terms: 11 + -11 = 0
0 + 6k + -2m = 10 + -11
6k + -2m = 10 + -11

Combine like terms: 10 + -11 = -1
6k + -2m = -1

Add '2m' to each side of the equation.
6k + -2m + 2m = -1 + 2m

Combine like terms: -2m + 2m = 0
6k + 0 = -1 + 2m
6k = -1 + 2m

Divide each side by '6'.
k = -0.1666666667 + 0.3333333333m

Simplifying
k = -0.1666666667 + 0.3333333333m

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