3(2k-1)-2(5-5k)=10k

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Solution for 3(2k-1)-2(5-5k)=10k equation:


Simplifying
3(2k + -1) + -2(5 + -5k) = 10k

Reorder the terms:
3(-1 + 2k) + -2(5 + -5k) = 10k
(-1 * 3 + 2k * 3) + -2(5 + -5k) = 10k
(-3 + 6k) + -2(5 + -5k) = 10k
-3 + 6k + (5 * -2 + -5k * -2) = 10k
-3 + 6k + (-10 + 10k) = 10k

Reorder the terms:
-3 + -10 + 6k + 10k = 10k

Combine like terms: -3 + -10 = -13
-13 + 6k + 10k = 10k

Combine like terms: 6k + 10k = 16k
-13 + 16k = 10k

Solving
-13 + 16k = 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
-13 + 16k + -10k = 10k + -10k

Combine like terms: 16k + -10k = 6k
-13 + 6k = 10k + -10k

Combine like terms: 10k + -10k = 0
-13 + 6k = 0

Add '13' to each side of the equation.
-13 + 13 + 6k = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 6k = 0 + 13
6k = 0 + 13

Combine like terms: 0 + 13 = 13
6k = 13

Divide each side by '6'.
k = 2.166666667

Simplifying
k = 2.166666667

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