1-3(9k+3)=-2(k-8)

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Solution for 1-3(9k+3)=-2(k-8) equation: 


Simplifying
1 + -3(9k + 3) = -2(k + -8)

Reorder the terms:
1 + -3(3 + 9k) = -2(k + -8)
1 + (3 * -3 + 9k * -3) = -2(k + -8)
1 + (-9 + -27k) = -2(k + -8)

Combine like terms: 1 + -9 = -8
-8 + -27k = -2(k + -8)

Reorder the terms:
-8 + -27k = -2(-8 + k)
-8 + -27k = (-8 * -2 + k * -2)
-8 + -27k = (16 + -2k)

Solving
-8 + -27k = 16 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-8 + -27k + 2k = 16 + -2k + 2k

Combine like terms: -27k + 2k = -25k
-8 + -25k = 16 + -2k + 2k

Combine like terms: -2k + 2k = 0
-8 + -25k = 16 + 0
-8 + -25k = 16

Add '8' to each side of the equation.
-8 + 8 + -25k = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -25k = 16 + 8
-25k = 16 + 8

Combine like terms: 16 + 8 = 24
-25k = 24

Divide each side by '-25'.
k = -0.96

Simplifying
k = -0.96

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