5k-6(3k+5)=-3k+9

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Solution for 5k-6(3k+5)=-3k+9 equation:


Simplifying
5k + -6(3k + 5) = -3k + 9

Reorder the terms:
5k + -6(5 + 3k) = -3k + 9
5k + (5 * -6 + 3k * -6) = -3k + 9
5k + (-30 + -18k) = -3k + 9

Reorder the terms:
-30 + 5k + -18k = -3k + 9

Combine like terms: 5k + -18k = -13k
-30 + -13k = -3k + 9

Reorder the terms:
-30 + -13k = 9 + -3k

Solving
-30 + -13k = 9 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-30 + -13k + 3k = 9 + -3k + 3k

Combine like terms: -13k + 3k = -10k
-30 + -10k = 9 + -3k + 3k

Combine like terms: -3k + 3k = 0
-30 + -10k = 9 + 0
-30 + -10k = 9

Add '30' to each side of the equation.
-30 + 30 + -10k = 9 + 30

Combine like terms: -30 + 30 = 0
0 + -10k = 9 + 30
-10k = 9 + 30

Combine like terms: 9 + 30 = 39
-10k = 39

Divide each side by '-10'.
k = -3.9

Simplifying
k = -3.9

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