75=5(k-6)+5(1-5k)

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Solution for 75=5(k-6)+5(1-5k) equation:


Simplifying
75 = 5(k + -6) + 5(1 + -5k)

Reorder the terms:
75 = 5(-6 + k) + 5(1 + -5k)
75 = (-6 * 5 + k * 5) + 5(1 + -5k)
75 = (-30 + 5k) + 5(1 + -5k)
75 = -30 + 5k + (1 * 5 + -5k * 5)
75 = -30 + 5k + (5 + -25k)

Reorder the terms:
75 = -30 + 5 + 5k + -25k

Combine like terms: -30 + 5 = -25
75 = -25 + 5k + -25k

Combine like terms: 5k + -25k = -20k
75 = -25 + -20k

Solving
75 = -25 + -20k

Solving for variable 'k'.

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

Add '20k' to each side of the equation.
75 + 20k = -25 + -20k + 20k

Combine like terms: -20k + 20k = 0
75 + 20k = -25 + 0
75 + 20k = -25

Add '-75' to each side of the equation.
75 + -75 + 20k = -25 + -75

Combine like terms: 75 + -75 = 0
0 + 20k = -25 + -75
20k = -25 + -75

Combine like terms: -25 + -75 = -100
20k = -100

Divide each side by '20'.
k = -5

Simplifying
k = -5

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