2(k+5)-4(-k+3)=20

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Solution for 2(k+5)-4(-k+3)=20 equation:


Simplifying
2(k + 5) + -4(-1k + 3) = 20

Reorder the terms:
2(5 + k) + -4(-1k + 3) = 20
(5 * 2 + k * 2) + -4(-1k + 3) = 20
(10 + 2k) + -4(-1k + 3) = 20

Reorder the terms:
10 + 2k + -4(3 + -1k) = 20
10 + 2k + (3 * -4 + -1k * -4) = 20
10 + 2k + (-12 + 4k) = 20

Reorder the terms:
10 + -12 + 2k + 4k = 20

Combine like terms: 10 + -12 = -2
-2 + 2k + 4k = 20

Combine like terms: 2k + 4k = 6k
-2 + 6k = 20

Solving
-2 + 6k = 20

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + 2 + 6k = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 6k = 20 + 2
6k = 20 + 2

Combine like terms: 20 + 2 = 22
6k = 22

Divide each side by '6'.
k = 3.666666667

Simplifying
k = 3.666666667

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