3(k-9)=5(1+5k)-10

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Solution for 3(k-9)=5(1+5k)-10 equation: 


Simplifying
3(k + -9) = 5(1 + 5k) + -10

Reorder the terms:
3(-9 + k) = 5(1 + 5k) + -10
(-9 * 3 + k * 3) = 5(1 + 5k) + -10
(-27 + 3k) = 5(1 + 5k) + -10
-27 + 3k = (1 * 5 + 5k * 5) + -10
-27 + 3k = (5 + 25k) + -10

Reorder the terms:
-27 + 3k = 5 + -10 + 25k

Combine like terms: 5 + -10 = -5
-27 + 3k = -5 + 25k

Solving
-27 + 3k = -5 + 25k

Solving for variable 'k'.

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

Add '-25k' to each side of the equation.
-27 + 3k + -25k = -5 + 25k + -25k

Combine like terms: 3k + -25k = -22k
-27 + -22k = -5 + 25k + -25k

Combine like terms: 25k + -25k = 0
-27 + -22k = -5 + 0
-27 + -22k = -5

Add '27' to each side of the equation.
-27 + 27 + -22k = -5 + 27

Combine like terms: -27 + 27 = 0
0 + -22k = -5 + 27
-22k = -5 + 27

Combine like terms: -5 + 27 = 22
-22k = 22

Divide each side by '-22'.
k = -1

Simplifying
k = -1

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