6(3k-5)=7(3k-2)

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Solution for 6(3k-5)=7(3k-2) equation:


Simplifying
6(3k + -5) = 7(3k + -2)

Reorder the terms:
6(-5 + 3k) = 7(3k + -2)
(-5 * 6 + 3k * 6) = 7(3k + -2)
(-30 + 18k) = 7(3k + -2)

Reorder the terms:
-30 + 18k = 7(-2 + 3k)
-30 + 18k = (-2 * 7 + 3k * 7)
-30 + 18k = (-14 + 21k)

Solving
-30 + 18k = -14 + 21k

Solving for variable 'k'.

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

Add '-21k' to each side of the equation.
-30 + 18k + -21k = -14 + 21k + -21k

Combine like terms: 18k + -21k = -3k
-30 + -3k = -14 + 21k + -21k

Combine like terms: 21k + -21k = 0
-30 + -3k = -14 + 0
-30 + -3k = -14

Add '30' to each side of the equation.
-30 + 30 + -3k = -14 + 30

Combine like terms: -30 + 30 = 0
0 + -3k = -14 + 30
-3k = -14 + 30

Combine like terms: -14 + 30 = 16
-3k = 16

Divide each side by '-3'.
k = -5.333333333

Simplifying
k = -5.333333333

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