5(2k-7)+k-2+2k-9=18

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Solution for 5(2k-7)+k-2+2k-9=18 equation:


Simplifying
5(2k + -7) + k + -2 + 2k + -9 = 18

Reorder the terms:
5(-7 + 2k) + k + -2 + 2k + -9 = 18
(-7 * 5 + 2k * 5) + k + -2 + 2k + -9 = 18
(-35 + 10k) + k + -2 + 2k + -9 = 18

Reorder the terms:
-35 + -2 + -9 + 10k + k + 2k = 18

Combine like terms: -35 + -2 = -37
-37 + -9 + 10k + k + 2k = 18

Combine like terms: -37 + -9 = -46
-46 + 10k + k + 2k = 18

Combine like terms: 10k + k = 11k
-46 + 11k + 2k = 18

Combine like terms: 11k + 2k = 13k
-46 + 13k = 18

Solving
-46 + 13k = 18

Solving for variable 'k'.

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

Add '46' to each side of the equation.
-46 + 46 + 13k = 18 + 46

Combine like terms: -46 + 46 = 0
0 + 13k = 18 + 46
13k = 18 + 46

Combine like terms: 18 + 46 = 64
13k = 64

Divide each side by '13'.
k = 4.923076923

Simplifying
k = 4.923076923

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