5(-3.4k-7)=(3k+21)

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Solution for 5(-3.4k-7)=(3k+21) equation:


Simplifying
5(-3.4k + -7) = (3k + 21)

Reorder the terms:
5(-7 + -3.4k) = (3k + 21)
(-7 * 5 + -3.4k * 5) = (3k + 21)
(-35 + -17k) = (3k + 21)

Reorder the terms:
-35 + -17k = (21 + 3k)

Remove parenthesis around (21 + 3k)
-35 + -17k = 21 + 3k

Solving
-35 + -17k = 21 + 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.
-35 + -17k + -3k = 21 + 3k + -3k

Combine like terms: -17k + -3k = -20k
-35 + -20k = 21 + 3k + -3k

Combine like terms: 3k + -3k = 0
-35 + -20k = 21 + 0
-35 + -20k = 21

Add '35' to each side of the equation.
-35 + 35 + -20k = 21 + 35

Combine like terms: -35 + 35 = 0
0 + -20k = 21 + 35
-20k = 21 + 35

Combine like terms: 21 + 35 = 56
-20k = 56

Divide each side by '-20'.
k = -2.8

Simplifying
k = -2.8

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