5(3k-2)-(8k+10)=1

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Solution for 5(3k-2)-(8k+10)=1 equation:


Simplifying
5(3k + -2) + -1(8k + 10) = 1

Reorder the terms:
5(-2 + 3k) + -1(8k + 10) = 1
(-2 * 5 + 3k * 5) + -1(8k + 10) = 1
(-10 + 15k) + -1(8k + 10) = 1

Reorder the terms:
-10 + 15k + -1(10 + 8k) = 1
-10 + 15k + (10 * -1 + 8k * -1) = 1
-10 + 15k + (-10 + -8k) = 1

Reorder the terms:
-10 + -10 + 15k + -8k = 1

Combine like terms: -10 + -10 = -20
-20 + 15k + -8k = 1

Combine like terms: 15k + -8k = 7k
-20 + 7k = 1

Solving
-20 + 7k = 1

Solving for variable 'k'.

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

Add '20' to each side of the equation.
-20 + 20 + 7k = 1 + 20

Combine like terms: -20 + 20 = 0
0 + 7k = 1 + 20
7k = 1 + 20

Combine like terms: 1 + 20 = 21
7k = 21

Divide each side by '7'.
k = 3

Simplifying
k = 3

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