5(-3k+7)=-10-6k

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Solution for 5(-3k+7)=-10-6k equation:


Simplifying
5(-3k + 7) = -10 + -6k

Reorder the terms:
5(7 + -3k) = -10 + -6k
(7 * 5 + -3k * 5) = -10 + -6k
(35 + -15k) = -10 + -6k

Solving
35 + -15k = -10 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
35 + -15k + 6k = -10 + -6k + 6k

Combine like terms: -15k + 6k = -9k
35 + -9k = -10 + -6k + 6k

Combine like terms: -6k + 6k = 0
35 + -9k = -10 + 0
35 + -9k = -10

Add '-35' to each side of the equation.
35 + -35 + -9k = -10 + -35

Combine like terms: 35 + -35 = 0
0 + -9k = -10 + -35
-9k = -10 + -35

Combine like terms: -10 + -35 = -45
-9k = -45

Divide each side by '-9'.
k = 5

Simplifying
k = 5

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