20=3(k-2)+4(6k-7)

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Solution for 20=3(k-2)+4(6k-7) equation: 


Simplifying
20 = 3(k + -2) + 4(6k + -7)

Reorder the terms:
20 = 3(-2 + k) + 4(6k + -7)
20 = (-2 * 3 + k * 3) + 4(6k + -7)
20 = (-6 + 3k) + 4(6k + -7)

Reorder the terms:
20 = -6 + 3k + 4(-7 + 6k)
20 = -6 + 3k + (-7 * 4 + 6k * 4)
20 = -6 + 3k + (-28 + 24k)

Reorder the terms:
20 = -6 + -28 + 3k + 24k

Combine like terms: -6 + -28 = -34
20 = -34 + 3k + 24k

Combine like terms: 3k + 24k = 27k
20 = -34 + 27k

Solving
20 = -34 + 27k

Solving for variable 'k'.

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

Add '-27k' to each side of the equation.
20 + -27k = -34 + 27k + -27k

Combine like terms: 27k + -27k = 0
20 + -27k = -34 + 0
20 + -27k = -34

Add '-20' to each side of the equation.
20 + -20 + -27k = -34 + -20

Combine like terms: 20 + -20 = 0
0 + -27k = -34 + -20
-27k = -34 + -20

Combine like terms: -34 + -20 = -54
-27k = -54

Divide each side by '-27'.
k = 2

Simplifying
k = 2

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