-4(k-3)+6(k+3)=40

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Solution for -4(k-3)+6(k+3)=40 equation: 


Simplifying
-4(k + -3) + 6(k + 3) = 40

Reorder the terms:
-4(-3 + k) + 6(k + 3) = 40
(-3 * -4 + k * -4) + 6(k + 3) = 40
(12 + -4k) + 6(k + 3) = 40

Reorder the terms:
12 + -4k + 6(3 + k) = 40
12 + -4k + (3 * 6 + k * 6) = 40
12 + -4k + (18 + 6k) = 40

Reorder the terms:
12 + 18 + -4k + 6k = 40

Combine like terms: 12 + 18 = 30
30 + -4k + 6k = 40

Combine like terms: -4k + 6k = 2k
30 + 2k = 40

Solving
30 + 2k = 40

Solving for variable 'k'.

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

Add '-30' to each side of the equation.
30 + -30 + 2k = 40 + -30

Combine like terms: 30 + -30 = 0
0 + 2k = 40 + -30
2k = 40 + -30

Combine like terms: 40 + -30 = 10
2k = 10

Divide each side by '2'.
k = 5

Simplifying
k = 5

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