-8+10(3-k)=3(1-12k)+7k

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Solution for -8+10(3-k)=3(1-12k)+7k equation:


Simplifying
-8 + 10(3 + -1k) = 3(1 + -12k) + 7k
-8 + (3 * 10 + -1k * 10) = 3(1 + -12k) + 7k
-8 + (30 + -10k) = 3(1 + -12k) + 7k

Combine like terms: -8 + 30 = 22
22 + -10k = 3(1 + -12k) + 7k
22 + -10k = (1 * 3 + -12k * 3) + 7k
22 + -10k = (3 + -36k) + 7k

Combine like terms: -36k + 7k = -29k
22 + -10k = 3 + -29k

Solving
22 + -10k = 3 + -29k

Solving for variable 'k'.

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

Add '29k' to each side of the equation.
22 + -10k + 29k = 3 + -29k + 29k

Combine like terms: -10k + 29k = 19k
22 + 19k = 3 + -29k + 29k

Combine like terms: -29k + 29k = 0
22 + 19k = 3 + 0
22 + 19k = 3

Add '-22' to each side of the equation.
22 + -22 + 19k = 3 + -22

Combine like terms: 22 + -22 = 0
0 + 19k = 3 + -22
19k = 3 + -22

Combine like terms: 3 + -22 = -19
19k = -19

Divide each side by '19'.
k = -1

Simplifying
k = -1

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